Question: Assuming a computer's CPU has a clock speed of 80 MHz, a CPI of 4, and each instruction accesses memory 1.5 times on average. The block size exchanged between the main memory and the Cache is 16B, with a Cache hit rate of 99%. The memory bus bandwidth is 32 bits. To improve performance, the main memory adopts a Quad-Leve low-order interleaved storage mode, with one leve activated every 1/4 memory cycle during operation. If the memory cycle of each bank is 50 ns, what is the maximum bandwidth that this main memory can provide?

C) $$
3 2 0 \mathrm{M B} / \mathrm{s}
$$


Question:
The attention to "robust build" in the term "robust build" involves:
I. Anatomy
II. Racial Studies
III. Physical Anthropology
IV. Linguistics


Question: A 29-year-old woman comes to the physician for the evaluation of progressive loss of vision in her left eye and gradual blurring of vision in her right eye over the past 2 months. She also says that she has had occasional headaches and has noticed a decrease in her sense of smell lately. The patient's only medication is fexofenadine for seasonal allergies. She is 158 cm (5 ft 2 in) tall and weighs 61 kg (135 lbs); BMI is 24.7 kg/m2. Vital signs are within normal limits. Visual acuity is 20/40 in the right eye and there is minimal light perception in the left eye. In the swinging flashlight test, both of her eyes dilate as the light moves from the right to left eye. Fundoscopy shows papilledema in the right optic disc and a pale left optic disc. The remainder of the examination shows no abnormalities. Which of the following is the most likely diagnosis?

Choices:
Optic neuropathy due to cranial arteritis
Optic neuropathy due to pituitary adenoma


Question:
We use TB (T1) to represent the start time of transaction T and TC (T1) to represent the commit time of transaction T. The following five transactions exist:
TB(T1) = 10, TC(T1) = 30
TB(T2) = 50, TC(T2) = 100
TB(T3) = 80, TC(T3) = 200
TB(T4) = 120, TC(T4) = 150
TB(T5) = 180, TC(T5) = 220
The system generates a checkpoint at time point 90, and a system fault occurs at time point 190. In the process of system fault recovery, you need to ().


Question: Which of the following scholars is considered one of the masterpieces of the economics of war?

D) Hurst's "The Political Economy of War"

Choices:
Engel's "Political Economy of Conflicts"


Question: Given the probabilities P(A) = 0.3 and P(B) = 0.2, what is the probability of the union P(A ∪ B) if A and B are mutually exclusive? If A and B are independent? If B is a subset of A?


Question: In which year was the first Yuan Baohua Prize for Enterprise Management awarded?


Question: The earliest practitioner of film montage was ( ).


Question: Wolf claims that interpreting Kant's ethics so that it consists of a finite set of constraints:

H) implausibly places an "upper bound" on moral worthiness.

Choices:
contradicts the basic principles of Kantian ethics.
transforms the theory into a form of contractarianism.
yields an unattractive picture of moral sainthood.
makes the theory too abstract and impractical.
simplifies the complexity of Kantian ethics.
implausibly places an "upper bound" on moral worthiness.
distorts the fundamental nature of the theory.


Question: A saturated solution of AgCl was treated with 1.5 M $\displaystyle Na_{2}CO_{3}$ solution giving $\displaystyle Ag_{2}CO_{3}$. The remaining solution contained 0.0026 gm of Cl per liter  $\displaystyle [K_{sp}ofAg_{2}CO_{3}=8.2\times10^{-12}M^{3}]$ Which of the following statements is/are correct?

D) $\displaystyle K_{sp}$ of AgCl from the above data is $\displaystyle 1.71\times 10^{-10}M^{2}$

Choices:
$\displaystyle K_{sp}$ of AgCl from the above data is $\displaystyle 1.71 \times 10^{-8}M^{2}$
$\displaystyle K_{sp}$ of AgCl from the above data is $\displaystyle 1.71 \times 10^{-9}M^{2}$
$\displaystyle K_{sp}$ of AgCl from the above data is $\displaystyle 1.71 \times 10^{-11}M^{2}$
$\displaystyle K_{sp}$ of AgCl from the above data is $\displaystyle 1.71\times 10^{-10}M^{2}$
\displaystyle K_{sp} of AgCl from the above data is \displaystyle 1.71 \times 10^{-7}M^{2}
$\displaystyle K_{sp}$ of AgCl from the above data is $\displaystyle 1.71 \times 10^{-12}M^{2}$
$\displaystyle K_{sp}$ of AgCl from the above data is $\displaystyle 1.71 \times 10^{-13}M^{2}$
The equilibrium concentration of $\displaystyle CO_{3}^{-2}$ is $\displaystyle 8.2 \times 10^{-12}M$
The concentration of NaCl at equilibrium is $\displaystyle 7.32 \times 10^{-1}M$


Question: In preschool education institutions, the education of children with language disorders should not be ().

C) separated from ordinary preschool education activities

Choices:
language enhancement should be pervasive in many teaching areas
mixed with regular preschool educational activities
separated from ordinary preschool education activities
assigned solely to specialized language therapists
intertwined with normal preschool educational activities
it become the responsibility of all preschool teachers
integrated with ordinary preschool education activities
language correction should be infiltrated into all areas of teaching content
become the obligation of every preschool educator
combined with normal preschool educational actions


Question: We now define an algorithm: The definition of a(n) is Tetranacci numbers arising in connection with current algebras sp(2)_n, where a Tetranacci sequence is a generalized Fibonacci sequence where each term is the sum of the previous four terms. The initial terms are provided for the specific sequence in this context. Given the input x_list (a series of values): [24, 25, 26, 27, 28, 29, 30, 31, 32, 33], determine the corresponding output sequence y_list.


Question: In the parent material of soil formation, there are slope deposits, diluvial deposits, wind deposits, and __


Question: The indicators for measuring a water body's self-purification include the P/H index, diurnal variation range of oxygen concentration and _______.


Question: Antibiotics that are unstable in acid and easily broken down are ____.


Question: The basic morphology of phage has three types such as tadpole shape, () and (), which can be further subdivided into six different forms.


Question: A thermistor made from intrinsic silicon material has a resistance value of 500 $\Omega$ at 290K. Assuming the band gap of silicon $E_{\mathrm{_{o}}}=1.12 \mathrm{eV}$ and considering it does not change with temperature, what is the approximate value of the thermistor at 325K if the carrier mobility is assumed to remain constant?


Question: What are the commonly used anaerobic processes in biogas engineering, including UASB, UBF, and which other process?

Agricultural Environment and Soil-Water Engineering


Question:
Find the remainder when the number of functions $f\colon \mathbb{Z}\to \mathbb{Z}$ that satisfy the following conditions
i)
$$f(x-14f(x)+1) = f(x)$$
for all integers $x$
ii) The smallest root of $f$ is $35$ .
iii) $f(x)\le 14$ for all $x$ .
is divided by $1000$ .


Question: The theory of_____refers to the phenomenon where, as large cities experience diminishing returns due to over-concentration of populations and production, causing friction and suppression, the flow of migration shifts from large cities to smaller cities, satellite towns, and outwards


Question: If the signal amplitude $A_{0}$ is unchanged, and the roll down factor $\alpha$ is increased by 1 times, how many times will the transmission bandwidth increase? If the modulated signal amplitude $A_{0}$ is increased by 1 times, how many times is the received demodulated signal-to-noise ratio increased?

Information and Communication Engineering


Question:
Consider Linear Programming Issues:
$max\ z=(3+2\lambda )x_1+(5+\lambda)x_2+2x_3$
$s.t.-2x_1+x_2+x_3\leq 5+6\lambda
\\
3x_1+x_2-x_3\le 10-8\lambda
\\
x_1,x_2,x_3,\lambda\ge0$
When the objective function reaches its maximum,$\lambda$is


Question: A centrally compressed brick column has cross-sectional dimensions of $370 \mathrm{mm} \times 490 \mathrm{mm}$. It is constructed using MU10 grade clay bricks and $\mathbf{M} 2.5$ mixed mortar. The design value of axial pressure applied at the base section of the column (including self-weight) is 165.88 kN, and the calculated height of the column is $H_{0} = 3.60 \mathrm{m}$. Which of the following values is the closest to the load-bearing capacity of the brick column?


Question: Given a unit feedback third-order system (without open-loop zeros), the requirements are: when the input is a unit ramp, the steady-state error of the system is $e_{ss} = 3$; the closed-loop dominant poles are to be placed at $\lambda_{1,2} = -2 \pm j2$. Determine the range of the open-loop gain for which the system remains stable.


Question: A woman with albinism (whose father is colorblind) marries a normal man (whose mother has albinism). The probability that their children will have both colorblindness and albinism is ().


Question: How many molecules of ATP can be produced from the complete oxidation of one molecule of glucose?


Question: A certain residence has a strip foundation under the load-bearing wall, with a width of 1.2m and a burial depth of 1.0m. The load acting on the foundation from the superstructure is 120kN/m, and the average unit weight of the foundation and the soil above it is 20.0kN/m³. The site's soil conditions are as follows: the first layer is silty clay with a thickness of 1.0m and a unit weight of 17.5kN/m³; the second layer is muddy clay with a thickness of 15.0m, a unit weight of 17.8kN/m³, a moisture content of 65%, and a bearing capacity characteristic value of 45kPa; the third layer is a dense sand and gravel layer. The groundwater is 1.0m below the surface. The thickness of the cushion is ()m.


Question: When using the branch and bound method to solve an integer programming problem for maximization, the objective function value of any feasible solution is the ( ).


Question: Given positive integers $d$, define the sequence $s(d)$ by the following rules: $s(1) = 1$, $s(2d) = s(d)$, and $s(2d+1) = (-1)^d s(d)$. Find the value of \[ \sum_{d=1}^{3881} s(d) s(d+2). \]


Question: Under____ conditions, the solubility of water-soluble proteins is generally minimal.


Question: With ____ as the symbol, a relatively complete theoretical system and practical framework have emerged in modern urban planning.

Choices:
Garden Suburb concept by Ebenezer Howard
The Utopian City proposed by Charles Fourier
The Radiant City proposed by Le Corbusier
The Broadacre City by Frank Lloyd Wright


Question: At $t = 0$, an arrow is fired vertically upwards with a speed of $100 m/s$. A second arrow is fired vertically upwards with the same speed at $t = 5 s$. Then

C) The two arrows will reach back their starting points at $t = 20 s $and at $t = 25 s$.

Choices:
The ratio of the speeds of the first and second arrows at $t = 20 s $will be $2:1$.
The two arrows will reach back their starting points at $t = 10 s $and at $t = 20 s$.
The two arrows will reach back their starting points at $t = 20 s $and at $t = 25 s$.
The two arrows will reach back their starting points at $t = 15 s$ and at $t = 30 s$.
The two arrows will reach back their starting points at $t = 10 s $and at $t = 25 s$.
The maximum height attained by either arrow will be $1000 m$.
The two arrows will reach back their starting points at $t = 15 s$ and at $t = 20 s$.
The two arrows will be at the same height above the ground at $t = 12.5 s$.
The two arrows will reach back their starting points at $t = 15 s $and at $t = 20 s$


Question: What two people did Jinkx Monsoon portray in RPDR All-Stars Season 7 Snatch Game?


Question: Carbon dioxide, although only a minor component of the atmosphere, plays an important role in determining the weather and the composition and temperature of the atmosphere. Calculate the difference between the molar enthalpy and the molar internal energy of carbon dioxide regarded as a real gas at 298.15 K. For this calculation treat carbon dioxide as a van der Waals gas and use the data in Table 1.5.


Question: The national anthem of Austria was composed by ________.

Music History, Education, and Technology


Question: Given that the surface tension of water is 72.62 (dyn / cm) at 20°C, how high should water rise in a capillary that is 1.0 mm in diameter?


Question: During the restoration process of wooden artifacts, it is often necessary to isolate fragments for microscopic examination to determine what plant material the artifact is made from. Which of the following type of cell is observed, it can be determined that the artifact could not have been made from cypress wood?


Question: Who was the engineer responsible for designing and building the London sewage system?


Question: Consider right triangle $\vartriangle ABC$ with a right angle at $A$ , $AB = 24$ , and $AC = 10$ . The midpoint of $AC$ is $D,$ and a line perpendicular to $BC$ is drawn through $D$ , meeting $BC$ at $E$ . The area of quadrilateral $ABED$ can be expressed as $m + n$ , where $m$ and $n$ are relatively prime positive integers. Find the remainder when $m + n$ is divided by $1000$ .


Question: When designing FIR digital filters using the window function method, under the same order, the transition band of the filter designed with a rectangular window is ( ) compared to that with a triangular window, and the stopband attenuation is ( ) compared to that with a triangular window.

Information and Communication Engineering


Question: For what values of $a$, $b$, and $c$ does the curve $y = a \cdot x^4 + b \cdot x^3 + c \cdot x^2 + e \cdot x + f$ have points of inflection?


Question:
At $25^{\circ} \ \mathrm{C}$, under pressure between 0 and 1000 atm, the volume of water is measured as:
$$
V = 18.066 - 0.715 \times 10^{-3} \, \mathbf{p} + 0.046 \times 10^{-8} \, \mathbf{p}^{2} \, \mathrm{cm}^{3} \cdot \mathrm{mol}^{-1}
$$
Assuming the temperature remains constant, the work done by the surroundings when compressing 1 mol of water from 1 atm to 1000 atm is___.

F) $$
3 3. 1 \mathrm{J} \cdot\mathrm{m o l}^{-1}
$$

Choices:
$$
1 9. 8 \mathrm{J} \cdot\mathrm{m o l}^{-1}
$$
$$
4 7. 2 \mathrm{J} \cdot\mathrm{m o l}^{-1}
$$
$$
1 2. 5 \mathrm{J} \cdot\mathrm{m o l}^{-1}
$$
$$
2 8. 6 \mathrm{J} \cdot\mathrm{m o l}^{-1}
$$
$$
5 8. 4 \mathrm{J} \cdot\mathrm{m o l}^{-1}
$$
$$
3 3. 1 \mathrm{J} \cdot\mathrm{m o l}^{-1}
$$
$$
5 2. 0 \mathrm{J} \cdot\mathrm{m o l}^{-1}
$$
$$
3 9. 3 \mathrm{J} \cdot\mathrm{m o l}^{-1}
$$
$$
6 4. 7 \mathrm{J} \cdot\mathrm{m o l}^{-1}
$$
$$
4 2. 9 \mathrm{J} \cdot\mathrm{m o l}^{-1}
$$


Question: In which year was fish liver oil first produced using the steam heating method?


Question: Which place is the first Ramsar wetland site in Goa?


Question: What are the changes in heart rate, cardiac output, blood pressure, and respiration caused by pressing on the carotid sinus and carotid body of the test rabbit?

C) Slower heart rate, reduced cardiac output, lowered blood pressure, deeper and faster breathing

Choices:
Heart rate stabilizes, cardiac output rises, blood pressure increases, and respiration speeds up
Increased heart rate, reduced cardiac output, lowered blood pressure, and deeper breathing
Slower heart rate, reduced cardiac output, lowered blood pressure, deeper and faster breathing
Increased heart rate, elevated cardiac output, raised blood pressure, and slowed breathing.
Reduced heart rate, higher cardiac output, unchanged blood pressure, and slowed breathing
Increased heart rate, higher cardiac output, elevated blood pressure, and deeper, faster breathing
Rapid heart rate, decreased cardiac output, elevated blood pressure, and shallow breathing
Increased heart rate, decreased cardiac output, elevated blood pressure, and faster breathing
Heart rate slows down, cardiac output decreases, blood pressure lowers, and respiration slows down.
Heart rate decreases, cardiac output stabilizes, blood pressure rises, and breathing remains steady


Question: Prove the stream function equation for ideal incompressible fluid under body forces with potential energy in a plane steady flow: $\nabla^{z}\psi = -f(\psi).$ Also, consider the flow as $x\to\infty$ where $u=cy^2, v=0, \frac{\partial v}{\partial x}=0,$ with $c$ as a constant. the stream function equation for this flow is ().


Question: What is the earliest known and most typical farming settlement site in China?

J) Yangshao Culture Ruins in Jiangzhai, Lintong, Shaanxi Province

Choices:
Banpo Village Site in Xi'an, Shaanxi Province
Hongshan Culture Site in Liaoning Province
Liangzhu Ancient City Ruins in Zhejiang Province
Fengdaicun Site in Qishan, Shaanxi Province
Longshan Culture Site in Shandong Province
The Hemudu Site in Yuyao, Zhejiang Province, China
Yangshao Culture Ruins in Jiangzhai, Lintong, Shaanxi Province


Question: At present, the proportion of developed capitalist countries in the total world trade is about ( ).


Question: What is the purpose of processing Polygonum multiflorum?


Question: What is the earliest book in the world that first described and roughly explained weather phenomena such as wind and clouds?

C) The Comprehensive Treatise on Meteorology

Choices:
The Comprehensive Treatise on Meteorology
The Early Treatise on Meteorological Observations and Phenomena
The Early Treatise on Meteorological Observations and Conditions
The Early Treatise on Meteorological Observations
The Early Treatise on Meteorological Studies
The Early Treatise on Atmospheric Phenomena
The Early Treatise on Atmospheric Conditions
The Early Treatise on Meteorological Phenomena


Question: The best sterilization method that can be chosen when injecting oil is( ).


Question: A rod of length l is standing vertically frictionless surface. It is disturbed slightly from this position. Let  and  be the angular speed and angular acceleration of the rod, when the rod turns through an angle  with the vertical. If the peed of center of mass is $v$ and  the value of acceleration of center of mass of the rod is a, then.

E) $$v = \frac{{l\omega }}{2}\cos \theta $$

Choices:
$$v = \frac{{l\omega }}{2}\sin (2\theta)$$
$$v = \frac{{l\omega }}{2}\sin \theta \cos \theta$$
$$v = \frac{{l\omega }}{2}\sin \theta $$
$$v = \frac{{l\omega }}{2}\cos \theta $$
$$v = \frac{{l\omega }}{2}\cos (2\theta)$$


Question: What is the title of Jerry Lee Lewis's 13th album?

Choices:
"She Woke Me Up to Say Goodbye to Everyone"

Music History, Education, and Technology


Question: Find the remainder when $3^{3^{3^3}}$ is divided by $1000$ .


Question: What are the three common types of intergrowth in structures?

D) Graphic texture, Perthitic texture, Myrmekitic texture

Choices:
Ball joint, Fusion joint, Expansion joint
Elastic joints, Rigid joints, Flexible joints
Pigment blend, Material mix, Structural scheme
Graphic texture, Perthitic texture, Myrmekitic texture
Scalar connection, Vector bond, Matrix linkage
Conductive joint, Resistive joint, Capacitive joint
Chromatic pattern, Granular formation, Coarse arrangement
Vector joints, Matrix joints, Tensor joints
Frictional lock, Magnetic attachment, Fluid coupling

Mineralogy, Petrology, and Economic Geology


Question: What causes a change in the direction of the curve of occlusion?

E) Wear on the lingual cusps of the maxillary molars and the buccal cusps of the mandibular molars

Choices:
Wear on the incisal edges of the maxillary molars and the buccal
Wear on the buccal cusps of the maxillary incisors and the lingual cusps of the mandibular incisors
Wear on the lingual cusps of the maxillary premolars and the buccal cusps of the mandibular premolars
Wear on the incisal edges of the incisors
Wear on the lingual cusps of the maxillary molars and the buccal cusps of the mandibular molars
Wear on the incisal edges of the mandibular canines
Wear on the buccal cusps of the maxillary molars and the lingual cusps of the mandibular molars
Wear on the lingual cusps of the mandibular molars and the buccal cusps of the maxillary molars
Wear on the buccal cusps of the maxillary premolars


Question: In the back-to-back letter of credit business, the beneficiary of the previous letter of credit is usually () of the latter letter of credit.


Question:
At 298K, when an amount of substance $n$ of sodium chloride $(NaCl)$ is dissolved in 1000g of water, the constant-pressure thermal effect is related to $n (NaCl)$ as follows:
$$
\Delta H \,=\, {\bigg[} 3858.14 {\bigg(} {\frac{n} {\mathrm{mol}}} {\bigg)} \,+\, 1989.18 {\bigg(} {\frac{n} {\mathrm{mol}}} {\bigg)}^{3 / 2}-3009.60 {\bigg(} {\frac{n} {\mathrm{mol}}} {\bigg)}^{2} \,+\, 1017.83 {\bigg(} {\frac{n} {\mathrm{mol}}} {\bigg)}^{5 / 2}]J
$$
Calculate the differential heat of dissolution for a solution concentration of $1mol \cdot dm^{-3}$;


Question: For convenience of use, you can choose lanolin containing lower viscosity with water, which refers to ( ).


Question: A 49-year-old female with a 6-year history of hypertension. P 80 beats/min, BP 168/100 mmHg, X-ray examination shows left ventricular hypertrophy. The antihypertensive drug of choice is


Question: An electric dipole moment $ \overrightarrow P = (2.0 \hat i + 3.0 \hat j) \mu $ is placed in a uniform electric field $ \overrightarrow E = (3.0 \hat i+ 2.0 \hat k) \times 10^5 NC^{-1} $ .

J) If the dipole is rotated in the electric field, the maximum potential energy of the dipole is 1.3 J

Choices:
If the dipole is rotated in the electric field, the maximum potential energy of the dipole is 1.4 J
If the dipole is rotated in the electric field, the maximum potential energy of the dipole is 1.5 J
If the dipole is rotated in the electric field, the maximum potential energy of the dipole is 1.7 J
If the dipole is rotated in the electric field, the maximum potential energy of the dipole is 1.6 J
If the dipole is rotated in the electric field, the maximum potential energy of the dipole is 1.8 J
The potential energy of the dipole is 0.9 J
The potential energy of the dipole is 0.6 J
If the dipole is rotated in the electric field, the maximum potential energy of the dipole is 1.2 J
The torque that $ \overrightarrow E $ exerts on P is $ (0.6 \hat i - 0.4 \hat j - 0.9 \hat k)$ Nm
If the dipole is rotated in the electric field, the maximum potential energy of the dipole is 1.3 J


Question: A 6.53-g sample of a mixture of magnesium carbonate and calcium carbonate is treated with excess hydrochloric acid. The resulting reaction produces $1. 7 2 \, \mathrm{L}$ of carbon dioxide gas at 28°C and 743 torr pressure. Assuming that the reactions are complete, The percentage by mass of magnesium carbonate in the mixture is().


Question: A three-phase 4-pole induction motor is given with a power supply frequency of $\mathrm{f=50 \, Hz}$ and a rated speed of $\mathrm{n}_{\mathrm{N}}=1450 \, \mathrm{r/min}$. What is the slip $\mathrm{S}$?


Question: The cell, $Pb | H_{2}(1\ atm)|| H^{+} (pH = x)|$normal calomel electrode, has an emf of $0.67$ volt as $25^{\circ}C$. Calculate the $pH$ of the solution. The oxidation potential of calomel electrode on the hydrogen scale is :$-0.28\ volt$.


Question: What is the symbiotic body formed by soil bacteria and the roots of leguminous plants called?


Question:
() is the integration and systematization of the supply chain with the logistics system as the core, including production enterprises, logistics enterprises, sales enterprises and consumers
Integration, systematization.


Question: In which of the following situations would monetary policy be more effective?

I) Money demand is more elastic to income

Choices:
Government spending is reduced considerably
Investment becomes more elastic to interest rates
Money supply is less responsive to changes
Consumer spending is less sensitive to rates
Interest rates are directly controlled by GDP


Question:
Known linear programming problems:$$\operatorname* {m i n} z=2 x_{1}+3 x_{2}+5 x_{3}+2 x_{4}+3 x_{5}$$ $$\mathrm{s. ~ t} \quad\left\{\begin{aligned} {{{}}} & {{{} {{} x_{1}+x_{2}+2 x_{3}+x_{4}+3 x_{5} \geq4}}} \\ {{{}}} & {{{} {{} 2 x_{1}-2 x_{2}+3 x_{3}+x_{4}+x_{5} \geq3}}} \\ {{{}}} & {{{} {{} x_{1}, x_{2}, x_{3}, x_{4}, x_{5} \geq0}}} \\ \end{aligned} \right.$$
The dual problem of the optimal solution is $y_{1}^{*}=\frac{4} {5}, y_{2}^{*}=\frac{3} {5}, z=5$ , try out the nature of the dual problem, the optimal solution for the original problem is how much?

F) The optimal solution is $X^{*}=\left( 1, 0, 0, 0, 1 \right)^{T}$ and the optimal value of the objective function $\omega^{*}=5$.

Choices:
The optimal solution is $X^{*}=\left( 1, 1, 0, 0, 1 \right)^{T}$ and the optimal value of the objective function $\omega^{*}=3$.
The optimal solution is $X^{*}=\left( 1, 0, 0, 1, 1 \right)^{T}$ and the optimal value of the objective function $\omega^{*}=4$.
The optimal solution is $X^{*}=\left( 1, 0, 0, 1, 1 \right)^{T}$ and the optimal value of the objective function $\omega^{*}=3$.
The optimal solution is $X^{*}=\left( 1, 1, 0, 0, 1 \right)^{T}$ and the optimal value of the objective function $\omega^{*}=5$.
The optimal solution is $X^{*}=\left( 1, 0, 1, 0, 1 \right)^{T}$ and the optimal value of the objective function $\omega^{*}=3$.
The optimal solution is $X^{*}=\left( 1, 0, 0, 0, 1 \right)^{T}$ and the optimal value of the objective function $\omega^{*}=5$.
The optimal solution is $X^{*}=\left( 1, 0, 1, 0, 1 \right)^{T}$ and the optimal value of the objective function $\omega^{*}=4$.
The optimal solution is $X^{*}=\left( 1, 1, 0, 0, 1 \right)^{T}$ and the optimal value of the objective function $\omega^{*}=4$.
The optimal solution is $X^{*}=\left( 1, 0, 0, 1, 1 \right)^{T}$ and the optimal value of the objective function $\omega^{*}=5$.
The optimal solution is $X^{*}=\left( 1, 0, 1, 0, 1 \right)^{T}$ and the optimal value of the objective function $\omega^{*}=5$.


Question: What year was the municipality of Ciudad Bolívar, Antioquia, Colombia, founded?


Question: What is the term for a wound that heals through granulation tissue growth?


Question: Find the solutions y of the differential equation y'=(t^2+3y^2)/2ty with y(1) = 1. What is y(2)?


Question: In a certain shell and tube heat exchanger, a fluid is heated from 20°C to 80°C using steam at 100°C. After six months of operation, due to the effect of fouling, the fluid's outlet temperature is only 70°C under the same operating conditions. What temperature should the heating steam be increased to in order to maintain the outlet temperature at 80°C?

Fluid Flow and Heat Transfer in Chemical Engineering


Question: The mass production of cysteine by Escherichia coli and the optimization of Bacillus subtilis protease in the washing industry apply the () principle of genetic engineering.


Question: The one-sided power spectral density of the additive Gaussian white noise is 76, and the energy of the input signal is E. The maximum signal-to-noise ratio at the output of the matched filter at a given time is ___.

Information and Communication Engineering


Question: Which season and episode of "Saturday Night Live" did Susan Lucci host?


Question: On August 14, 1868, which newspaper reported that a 12-year-old boy killed a 23-foot-long giant snake with a scythe?


Question: A parallel beam of light of radiant energy density 6.4 × 10^4 J/m^3 is incident on a plane mirror. What is a) the momentum acting upon the mirror and b) the force exerted upon it during 5 seconds illumination?


Question: The acid catalysed hydrolysis of an organic compound $A$ at $30^{\circ}C$ has a time for half change of $100$ minutes, when carried out in a buffer solution at $pH\ 5$ and of $10$ minutes, wen carried out at $pH\ 4$. Both times of half change are independent of the initial concentration of $A$. If the rate of reaction is given by $\dfrac {-d[A]}{dt} = k[A]^{a} [H^{+}]^{b}$, what are the values of $a$ and $b$?


Question: Among the following options, which description of "endogenous cholesterol" is correct?

H) The cholesterol synthesized by the liver and secreted into the intestinal cavity along with bile is generally between 2 to 3 grams.

Choices:
The cholesterol synthesized by the liver and secreted into the intestinal cavity along with bile is generally between 4 to 5 grams.
The cholesterol synthesized by the liver and secreted into the intestinal cavity along with bile is generally between 3.7 to 4.5 grams.
The cholesterol synthesized by the liver and secreted into the intestinal cavity along with bile is generally between 1.7 to 2.8 grams.
The cholesterol synthesized by the liver and secreted into the intestinal cavity along with bile is generally between 2.5 to 3 grams.
The cholesterol synthesized by the liver and secreted into the intestinal cavity along with bile is generally between 1.8 to 3 grams.
The cholesterol synthesized by the liver and secreted into the intestinal cavity along with bile is generally between 4.5 to 5.5 grams.
The cholesterol synthesized by the liver and secreted into the intestinal cavity along with bile is generally between 2.2 to 3.7 grams.
The cholesterol synthesized by the liver and secreted into the intestinal cavity along with bile is generally between 2 to 3 grams.
The cholesterol synthesized by the liver and secreted into the intestinal cavity along with bile is generally between 2 to 2.8 grams.


Question: The cutting phenomenon of the ring segment occurs in the ______ region of the scales.


Question: Who was Savannah Churchill's first husband?


Question: In the rest frame of a $\pi$ meson $(m_{\pi} = 140 \mathrm{MeV})$ decaying into $\mu^{-}$ and $\mathbf{v}$, what is the maximum momentum of the emitted $\mu^{-}$?


Question: The process of river runoff formation can be categorized into _____ processes and _____ processes.


Question: The prices of goods X and Y rise at the same rate, while income remains unchanged. The budget line ().

Choices:
shifts to the right without changing slope
moves parallel to the lower left or upper right
shifts to the left without changing slope


Question: Given that the molar conductivities of the ions at 25°C are: $\lambda_{\mathrm{m}} ( \mathrm{H}^{+} )=349.7 \mathrm{~S~cm}^{2}/\mathrm{mol}$, $\lambda_{\mathrm{m}} ( \mathrm{K}^{+} )=73.5 \mathrm{~S~cm}^{2}/\mathrm{mol}$, $\lambda_{\mathrm{m}} ( \mathrm{Cl}^{-} )=76.3 \mathrm{~S~cm}^{2}/\mathrm{mol}$. Calculate the conductivity of an aqueous solution containing 0.001 mol/L KCl and 0.001 mol/L HCl at 25°C. The conductivity of water can be neglected is().


Question: A dipole antenna has a length of $l$ and carries a current $I = I_{0}\operatorname{sin}(\omega t)$, where it is known that $\omega l \ll c$ (speed of light in vacuum). Find the radiative field components $H$ and $E$ is_____.

G) $\begin{aligned}&H(r,t)=\frac{I_{0}\omega l}{4\pi c} \frac{\cos(kr-\omega t)}{r}\mathrm{sin}\theta e_{\phi} .\\&E(r,t)=cB(r,t)\times e_{r}=\frac{I_{0}\omega l}{4\pi\varepsilon_{0}c^{2}} \frac{\cos(kr-\omega t)}{r}\mathrm{sin}\theta e_{\theta}\end{aligned}$

Choices:
$\begin{aligned}&H(r,t)=\frac{I_{0}\omega l}{4\pi c^{2}} \frac{\sin(kr-\omega t)}{r}\mathrm{cos}\theta e_{\phi} .\\&E(r,t)=cB(r,t)\times e_{\theta}=\frac{I_{0}\omega l}{4\pi\varepsilon_{0}c^{3}} \frac{\sin(kr-\omega t)}{r}\mathrm{cos}\theta e_{\theta}\end{aligned}$
$\begin{aligned}&H(r,t)=\frac{I_{0}\omega l}{8\pi c} \frac{\cos(kr-\omega t)}{r}\mathrm{sin}\theta e_{\phi} .\\&E(r,t)=cB(r,t)\times e_{\phi}=\frac{I_{0}\omega l}{8\pi\varepsilon_{0}c^{2}} \frac{\cos(kr-\omega t)}{r}\mathrm{sin}\theta e_{\theta}\end{aligned}$
$\begin{aligned}&H(r,t)=\frac{I_{0}\omega l}{\pi c} \frac{\sin(kr-\omega t)}{r}\mathrm{cos}\theta e_{\theta} .\\&E(r,t)=cB(r,t)\times e_{\phi}=\frac{I_{0}\omega l}{\pi\varepsilon_{0}c^{2}} \frac{\sin(kr-\omega t)}{r}\mathrm{cos}\theta e_{\phi}\end{aligned}$
$\begin{aligned}&H(r,t)=\frac{I_{0}\omega l}{4\pi c} \frac{\cos(kr+\omega t)}{r}\mathrm{sin}\theta e_{\phi} .\\&E(r,t)=cB(r,t)\times e_{r}=\frac{I_{0}\omega l}{4\pi\varepsilon_{0}c^{2}} \frac{\cos(kr+\omega t)}{r}\mathrm{sin}\theta e_{\theta}\end{aligned}$
$\begin{aligned}&H(r,t)=\frac{I_{0}\omega l}{12\pi c} \frac{\sin(kr+\omega t)}{r}\mathrm{cos}\theta e_{r} .\\&E(r,t)=\frac{I_{0}\omega l}{12\pi\varepsilon_{0}c^{3}} \frac{\sin(kr+\omega t)}{r}\mathrm{cos}\theta e_{r}\end{aligned}$
$\begin{aligned}&H(r,t)=\frac{I_{0}\omega l}{4\pi c} \frac{\sin(kr-\omega t)}{r}\mathrm{cos}\theta e_{\phi} .\\&E(r,t)=\frac{I_{0}\omega l}{4\pi\varepsilon_{0}c^{2}} \frac{\sin(kr-\omega t)}{r}\mathrm{cos}\theta e_{\theta}\end{aligned}$
$\begin{aligned}&H(r,t)=\frac{I_{0}\omega l}{4\pi c} \frac{\cos(kr-\omega t)}{r}\mathrm{sin}\theta e_{\phi} .\\&E(r,t)=cB(r,t)\times e_{r}=\frac{I_{0}\omega l}{4\pi\varepsilon_{0}c^{2}} \frac{\cos(kr-\omega t)}{r}\mathrm{sin}\theta e_{\theta}\end{aligned}$
$\begin{aligned}&H(r,t)=\frac{I_{0}\omega l}{4\pi c^{2}} \frac{\cos(kr-\omega t)}{r}\mathrm{sin}\theta e_{\theta} .\\&E(r,t)=cB(r,t)\times e_{\phi}=\frac{I_{0}\omega l}{4\pi\varepsilon_{0}c^{3}} \frac{\cos(kr-\omega t)}{r}\mathrm{sin}\theta e_{r}\end{aligned}$
$\begin{aligned}&H(r,t)=\frac{I_{0}\omega l}{6\pi c} \frac{\cos(kr-\omega t)}{r}\mathrm{sin}\theta e_{r} .\\&E(r,t)=\frac{I_{0}\omega l}{6\pi\varepsilon_{0}c^{3}} \frac{\cos(kr-\omega t)}{r}\mathrm{sin}\theta e_{\phi}\end{aligned}$
$\begin{aligned}&H(r,t)=\frac{I_{0}\omega l}{2\pi c} \frac{\sin(kr-\omega t)}{r}\mathrm{cos}\theta e_{\phi} .\\&E(r,t)=cB(r,t)\times e_{r}=\frac{I_{0}\omega l}{2\pi\varepsilon_{0}c^{2}} \frac{\sin(kr-\omega t)}{r}\mathrm{cos}\theta e_{\theta}\end{aligned}$

Information and Communication Engineering


Question:
At a certain temperature
$S_{(s)} + O_{2(g)} \rightleftharpoons SO_{2(g)}$  $K_C = 5 \times 10^{52}$
$2S_{(s)} + 3O_{2(g)} \rightleftharpoons 2SO_{3(g)}$  $K_C = 10^{29}$
$K_C$ (at same temperature) for the reaction below is
$2SO_{2(g)} + O_{2(g)} \rightleftharpoons 2SO_{3(g)}$


Question: What prevents excessive dilation of the heart is ( ).


Question: Consider the variation of $\mathbf{f}$ with latitude and try to find the horizontal dispersion of the geostrophic winds. If we take $\mathbf{v}_{\mathbf{g}}=1 0 \mathbf{m} / \mathbf{s}$, try to find out the magnitude of the dispersion of the geostrophic winds at $4 5 \, \mathrm{N}$?


Question: When using n+1 bits (including 1 sign bit) to represent a fixed-point integer, the range of representable digits is $0 \! \leqslant\! | \mathrm{N} | \! \leqslant\! 2^{n} \!-\! 1$. What is the range of representable values when using n+1 bits (including 1 sign bit) to represent a fixed-point decimal?

C) $$
0 \leqslant| N | \leqslant1-2^{-n}
$$

Choices:
$$
2^{-n} \leqslant N \leqslant 2^{n} - 1
$$
$$
0 \leqslant| N | \leqslant1-2^{-n}
$$
$$
0 \leqslant N \leqslant 2^{n-1} - 1
$$
$$
-1 \leqslant N \leqslant 2^{-n} - 1
$$


Question: Our country's soil resources are extremely abundant and diverse, with an initial count of ___soil orders and ____soil types.


Question: In biological oxidation reactions that rely on organic mechanisms, exogenous inorganic oxides are primarily used as the final electron acceptors. What is this called?


Question: Two polarizers $P_{1}$ and $P_{2}$ are stacked together. The angle between their polarization directions is denoted as $\alpha$. A mixed light beam, composed of natural light and linearly polarized light with equal intensity, is incident perpendicularly on the polarizers. The angle between the vibration direction of the light vector of the linearly polarized light and the polarization direction of $P_{1}$ is $\theta$. Neglecting reflection and absorption, and given that $\alpha=30^{\circ}$ and $\theta=60^{\circ}$, find the ratio of the transmitted light intensity after passing through $P_{1}$ and $P_{2}$ to the incident light intensity.


Question: What is the level H of an open tank, the outside air pressure Pn, and the diameter of the bottom outlet pipe d. When λ ≠ 0, what is the velocity u of the outlet water related to?

Water conservancy and Hydropower Engineering


Question:
Calculate $\Delta H$ for the following reaction at $298\ K$:
$$Fe_{2}O_{3}(s)+3CO(g)\rightarrow 2Fe(s)+3CO_{2}(g)$$
from the following thermochemical equation
(i) $3Fe_{2}O_{3}(s)+3CO(g)\rightarrow 2Fe_{3}O_{4}(s)+CO_{2}(g); \Delta H=-46.4\ kJ$
(ii) $FeO(s)+CO(g)\rightarrow Fe(s)+CO_{2}(g); \Delta H=9.0\ kJ$
(iii) $Fe_{3}O_{4}(s)+CO(g)\rightarrow 3FeO(s)+CO_{2}(g); \Delta H=-41.0\ kJ$


Question: What are the characteristics of behavior that promote health?

F) Beneficiality, Regularity, Harmony, Consistency, Appropriateness

Choices:
Beneficiality, Regularity, Harmony, Consistency, Appropriateness
Beneficiality, Regularity, and Harmonicity
Regularity, Harmony, Consistency, Appropriateness
Advantageousness, Regularity, Harmony, Consistency


Question: In the air, there is an equilateral triangular loop with a side length of $b$ and a long straight wire. One side of the triangular loop is parallel to the straight wire at a distance of $a$, while the other vertex of the triangular loop is farther away from the straight wire. When the straight wire and the triangular loop carry currents $I_{1}$ and $I_{2}$ respectively, what is the mutual magnetic field energy between the triangular loop and the straight wire?

G) $$
\frac{\mu_{0} I_{1} I_{2}} {\pi} \left[ \left( \frac{a} {\sqrt{3}}+\frac{b} {2} \right) \operatorname{l n} \frac{a+\frac{\sqrt{3}} {2} b} {a}-\frac{1} {a} \times\frac{\sqrt{3}} {2} b \right]
$$

Choices:
$$
\frac{\mu_{0} I_{1} I_{2}} {\pi} \left[ \left( \frac{2a} {\sqrt{3}}+\frac{b} {4} \right) \operatorname{l n} \frac{a+\frac{b} {3}} {a}-\frac{1} {2a} \times b \right]
$$
$$
\frac{\mu_{0} I_{1} I_{2}} {\pi} \left[ \left( \frac{2a} {\sqrt{3}}-\frac{b} {2} \right) \operatorname{l n} \frac{a+2b} {a}-\frac{1} {\sqrt{3} a} \times b \right]
$$
$$
\frac{\mu_{0} I_{1} I_{2}} {\pi} \left[ \left( \frac{b} {\sqrt{3}}+\frac{a} {2} \right) \operatorname{l n} \frac{a+b/2} {a}-\frac{\sqrt{3}} {2a} \times b \right]
$$
$$
\frac{\mu_{0} I_{1} I_{2}} {\pi} \left[ \left( \frac{a} {\sqrt{2}}+\frac{b} {3} \right) \operatorname{l n} \frac{a+\frac{1} {\sqrt{2}} b} {a}-\frac{2} {a} \times\frac{b} {3} \right]
$$
$$
\frac{\mu_{0} I_{1} I_{2}} {\pi} \left[ \left( \frac{a} {\sqrt{3}}+\sqrt{2}b \right) \operatorname{l n} \frac{a+\frac{\sqrt{2}} {\sqrt{3}} b} {a}-\frac{2} {a} \times b \right]
$$
$$
\frac{\mu_{0} I_{1} I_{2}} {\pi} \left[ \left( \frac{a} {2}+\frac{b\sqrt{3}} {2} \right) \operatorname{l n} \frac{a+\sqrt{3} b} {a}-\frac{2} {a} \times\frac{b} {3} \right]
$$
$$
\frac{\mu_{0} I_{1} I_{2}} {\pi} \left[ \left( \frac{a} {\sqrt{3}}+\frac{b} {2} \right) \operatorname{l n} \frac{a+\frac{\sqrt{3}} {2} b} {a}-\frac{1} {a} \times\frac{\sqrt{3}} {2} b \right]
$$
$$
\frac{\mu_{0} I_{1} I_{2}} {\pi} \left[ \left( \frac{a} {4}+\frac{\sqrt{3} b} {3} \right) \operatorname{l n} \frac{a+b} {a}-\frac{1} {\sqrt{3} a} \times b \right]
$$
$$
\frac{\mu_{0} I_{1} I_{2}} {\pi} \left[ \left( b+\frac{a} {\sqrt{3}} \right) \operatorname{l n} \frac{a+b} {a}-\frac{1} {\sqrt{3} a} \times b \right]
$$
$$
\frac{\mu_{0} I_{1} I_{2}} {\pi} \left[ \left( \sqrt{3}a+\frac{b} {2} \right) \operatorname{l n} \frac{a+b/2} {a}-\frac{2} {\sqrt{3} a} \times b \right]
$$


Question: What is the primary function of the U.S. military's Judge Advocate General (JAG) Corps?

E) To provide legal advice and representation in military justice matters

Choices:
To conduct legal assessments and evaluations in military cases
To conduct surveillance and intelligence operations overseas
To coordinate training and operations in judiciary law
To supervise military discipline and courtroom procedures
To provide legal advice and representation in military justice matters
To manage military logistics and supply chain operations
To administer justice and legal services within military realms
To develop military strategy and tactics for combat scenarios
To oversee recruitment and training of military personnel
To facilitate law enforcement and criminal investigation


Question: If we prepared an aqueous solution by mixing $100$ ml of $0.2$M HCOOH with $100$ ml of $0.2$M NAOH, then its degree of hydrolysis & hydrolysis constant will be? [Given: $K_a(HCOOH)=1.8\times 10^{-4}$]


Question: _______ technique uses high-pressure water jets.

Water conservancy and Hydropower Engineering


Question: A capacitor has a capacitance of $C {=} 2000 \mathrm{pF,} \ \ \mathrm{tan} \delta{=} 0.01$, and the insulation resistance under direct current is 2000 MΩ. What is the ratio of the equivalent resistance in the parallel equivalent circuit of dielectric loss under alternating current to the direct current insulation resistance?


Question: A short bar magnet with the north pole facing north forms a neutral point at P in the horizontal plane. If the magnet is rotated by $90^o$ in the horizontal plane, the net magnetic induction at $P$ is ( Horizontal component of earth's magnetic field $= B_H$):


Question:
Choose the classical dance moves which are essential parts of a ballet allegro sequence.
I. Sissone
II. Jete
III. Echappe
IV. Glissade
V. Pirouette


Question: The infinite cylinder with a radius of $R$ is uniformly charged, with a charge density of $\rho$. Setting the reference point for the electric potential on the axis, what is the magnitude of the potential outside the cylinder $(r \ge R)$?

Choices:
$$
\frac{\rho R}{2 \, \varepsilon_{0}} \left( \mathrm{l n} \, \frac{R} {r} \right)
$$
$$
\frac{\rho R^{2}} {2 \, \varepsilon_{0}} \left( \mathrm{l n} \, \frac{R} {r} \right)
$$


Question: What is the autocorrelation function $R(\tau)$ of the sine wave? $u = A \cos(\omega_c t + \phi)$.

J) $R \left( \tau\right)=\frac{1} {2} A^{2} \operatorname{cos} \omega_{c}t$

Choices:
$R \left( \tau\right)=A^{2} \operatorname{sin} \omega_{c}\tau$
$R \left( \tau\right)=0.5 A^{2} \operatorname{tan} \omega_{c}t$
$R \left( \tau\right)=2 A^{2} \operatorname{sin} \omega_{c}t$
$R \left( \tau\right)=A A^{2} \operatorname{cos} \omega_{c}t$
$R \left( \tau\right)=A^{2} \operatorname{cos} \omega_{c}\tau$
$R \left( \tau\right)=A^{2} \operatorname{tan} \omega_{c}\tau$
$R \left( \tau\right)=\frac{1}{2} A^{2} \operatorname{sin} \omega_{c}t$
$R \left( \tau\right)=\frac{1}{3} A^{2} \operatorname{cos} \omega_{c}t$
$R \left( \tau\right)=\frac{1}{2} A \operatorname{cos} \omega_{c}t$
$R \left( \tau\right)=\frac{1} {2} A^{2} \operatorname{cos} \omega_{c}t$

Information and Communication Engineering


Question: A certain high-voltage laboratory's power frequency test transformer's rated voltage is 500kV, with a high-voltage lead 4m above the ground. To prevent corona discharge, what should be the radius of the lead (considering a surface roughness factor of $0.7 \sim 0.8$)?


Question: The auxiliary materials for glass melting include clarifying agents, opacifiers, coloring agents, decolorizers, fluxes, and ______.


Question: A very long magnet of pole strength 16 A-m is placed vertically with its one pole on the table. At what distance from the pole, there will be a neutral point on the table. $(B_H =4 \times 10^{-5} \ Wbm^{-2})$


Question:
Let $f {\in} L^{1} ( [0, 1] )$, and we have
$$
\int_{0}^{1} \! x^{n} f ( x ) \mathrm{d} x=\frac{1} {n+2} \quad( n=0, 1, 2, \cdots) \,,
$$
what is the value of $f(x)$?


Question: A patient develops an infection of methicillin-resistant Staphylococcus aureus. All of the following can be used to treat this infection except :


Question: The length-to-width ratio of ponds is typically ( ).


Question: The form of the state directly purchasing orders from private enterprises belongs to ( ).

A) state participation in the reproduction process of private monopoly capital through various forms

Choices:
state participation in the reproduction process of private monopoly capital through various forms
state-owned and directly managed enterprises
enterprises jointly owned or operated with private entities
governmental influence in private sector decision-making
direct management of enterprises by state apparatus
macro-level oversight of private enterprise operations
macroeconomic control over corporate capital acquisition processes
private monopoly control of state economic directives


Question: We have an oxidation - reduction system: $ [Fe(CN)_{6}]^{3-}+e^{-}\rightleftharpoons [Fe(CN)_{6}]^{4-};E^{0}= +0.36 V.$ The ratio of concentrations of oxidized and reduced from at which the potential of the system becomes 0.24 V, is [Given : 2.303 RT/F = 0.06)


Question: Dershowitz discusses the hypothetical case where the hijacked planes of 9/11 must be shot down to argue that important decisions like these

D) should be made with visibility and accountability by the highest-level officials.

Choices:
should be made by a committee of experts.
can be avoided through diplomatic negotiations.
should be made by the military without civilian interference.
should be made with visibility and accountability by the highest-level officials.
Both should be made by a committee of experts and should be made by the military without civilian interference are correct
should always be made by a single person to ensure accountability.


Question: When transposing a G major melody written in bass clef, which of the following transpositions does not require changing the position of the notes?

D) Transpose to F major, using the alto clef

Choices:
Transpose to D major, using the treble clef
Transpose to a major second below, using the treble clef
Keep the clef the same, transpose to a minor second above
Transpose to F major, using the alto clef


Question: The experiment measured that the heat capacity of iron is $c_{V}^{( 1 )}=0.054 \ \text{cal/mol}\cdot K$ at $T_{1} = 20 \ \text{K}$, and $c_{V}^{( 2 )}=0.18 \ \text{cal/mol}\cdot K$ at $T_{2} = 30 \ \text{K}$. What is the Debye temperature of iron ?


Question: What is the first name of Squire Boone, Sr., and Sarah Morgan Boone's youngest daughter, born in 1746?


Question: A neutron consists of one "up" quark of charge $+2 e / 3$ and two "down" quarks each having charge $-e / 3$. If we assume that the down quarks are $2.6 \times 10^{-15} \mathrm{~m}$ apart inside the neutron, what is the magnitude of the electrostatic force between them?


Question: The flat keel is within the length range: (1) the width remains the same; (2) the thickness remains the same; (3) The thickness varies with different positions; (4) The width varies with the location

Naval Architecture and Ocean Engineering


Question: The database system includes not only the database itself, but also the corresponding hardware, software, and _____.


Question: Let `A` be a 3x3 matrix. By swapping the 1st and 2nd columns of `A`, we get `B`. Then, by adding the 2nd column of `B` to the 3rd column, we get `C`. The invertible matrix `Q` that satisfies `AQ=C` is ( )


Question: A swimmer enters a gloomier world (in one sense) on diving to greater depths. Given that the mean molar absorption coefficient of seawater in the visible region is $6.2 \times 10^{-3} \mathrm{dm}^3 \mathrm{~mol}^{-1} \mathrm{~cm}^{-1}$, calculate the depth at which a diver will experience half the surface intensity of light.


Question: Wound contraction of a traumatic injury occurs( ).

B) 2-3 days after injury and stops around day 14

Choices:
4-5 days after injury and stops around day 14
2-3 days after injury and stops around day 14
1-3 days after injury and stops around day 14
1-2 days after injury and stops around day 14
5-6 days after injury and stops around day 14
3-4 days after injury and stops around day 14
3-5 days after injury and stops around day 14
4-6 days after injury and stops around day 14
2-4 days after injury and stops around day 14
1-5 days after injury and stops around day 14


Question: Using A-law 13-piece line coding, set the minimum quantization interval as 1 quantization unit. Given that the sampled pulse value is -252 quantization units, the output code group of the encoder is _____, the quantization error is ___, and the corresponding 12-bit linear code is ____.

Information and Communication Engineering


Question: The secondary layer in the atmosphere most closely related to geological processes is( ).

Atmospheric Physics and Atmospheric Environment


Question: Initial screening test for newborn hearing disorder -

Choices:
ABR - Auditory Brainstem Evoked Response
Transient Evoked Otoacoustic Emissions (TEOAE)


Question: During which years did William Butts Ittner serve as the president of the Architectural League of America?


Question: Evaluate $\int_{0}^\pi \sin(5 \cdot x) \cdot \sqrt{\cos(5 \cdot x)} \, dx$ using substitution.


Question: For a triode $\mu =64$ and $g_m =1600\ \mu$ mho. It is used as an amplifier and an input signal of $1V$ (rms) is applied. The signal power in the load of $40\ k\Omega $ will be


Question: Estimate the difference between the standard enthalpy of ionization of $\mathrm{C a ( g )}$ to $\mathrm{C a^{2+} ( g )}$ and the accompanying change in internal energy at 25°C.


Question:
You have a thermodynamic system with three states. You observe the probabilities $p_{1}=0. 9$ , $p_{2}=0. 0 9, p_{3}=0. 0 1$ at $T=3 0 0 \mathrm{K}$ What are the energies $\varepsilon_{2}$
and $\varepsilon_{3}$ of states 2 and 3 relative to the ground state?

A) $$\varepsilon_{2}=1. 3 8 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{3}=2. 7 0 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$

Choices:
$$\varepsilon_{2}=1. 3 8 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{3}=2. 7 0 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{2}=1. 3 1 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{3}=2. 9 0 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{2}=1. 5 0 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{3}=2. 4 8 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{2}=1. 6 0 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{3}=3. 0 0 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{2}=1. 4 9 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{3}=2. 7 1 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{2}=1. 4 2 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{3}=2. 7 5 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{2}=0. 9 8 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{3}=2. 6 0 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{2}=1. 3 5 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{3}=2. 8 0 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{2}=1. 2 0 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{3}=2. 3 5 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{2}=1. 4 0 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$
$$\varepsilon_{3}=2. 5 8 {\frac{\mathrm{k c a l}} {\mathrm{m o l}}}$$


Question: A contractor has found through experience that the low bid for a job (excluding his own bid) is a random variable that is uniformly dis-tributed, over the interval ( 3c / 4 , 2c) where c is the contractor's cost estimate (no profit or loss) of the job. If profit is defined as zero if the contractor does not get the job (his bid is greater than the low bid) and as the difference between his bid and the cost estimate c if he gets the job, what should he bid, in terms of c, in order to maximize his expected profit?


Question: If nominal GDP equals $6000 and the GDP deflator equals 200 then real GDP equals

B) Both $3,000 and $6000 / 2 are correct


Question: There is a large pressure vessel containing an ideal gas. It is known that $p=690\mathbf{kN/m}^2, T=282\mathbf{°C}, \gamma=1.4$, $R=166.6\mathbf{Nm/kgK}$. The gas is expelled into the atmosphere through a converging nozzle. The atmospheric pressure is $p_{a}=101.3\mathbf{kN/m^{2}}$, and the mass flow rate is $m=0.45kg/s$. What is the nozzle exit velocity?

Power Engineering and Engineering Thermophysics


Question: When the input signal to a system is a unit ramp function, what system should be owned in order to make the steady-state error of the system zero?


Question: A right angled tube is fixed horizontally on a horizontal surface and an ideal liquid of density $\rho $ is flowing into the tube at the rate of $q=4\ m^{3}/s$. Cross sectional are of the tube at in take and outlet positions are $A=2\ m^{2}$ and $S=1\ m^{2}$ respectively. The magnitude of net force exerted by liquid on the tube (Given that the value of atmospheric pressure $P_{0}=4\rho\ N/m^{2}$)


Question: According to the concept of continuous media, what does a fluid particle refer to?

E) Compared to fluid space, geometric dimensions are extremely small and contain a large number of molecules in microelements

Choices:
Against fluid capacity, geometric proportions are extensively tiny but encapsulate a numerous amount of molecules
Relative to fluid dimensions, geometric sizes are incredibly small and encompass numerous molecules in microelements
Relative to fluid volume, geometric dimensions are impressively large yet hold an excessive number of molecules
Compared to fluid mass, geometric dimensions are moderately small and hold a medium number of molecules
Compared to fluid space, geometric dimensions are extremely small and contain a large number of molecules in microelements
In relation to fluid volume, geometric proportions are significantly large and include few molecules within microelements
Relative to fluid area, geometric dimensions are considerably tiny but hold a minimal number of molecules


Question: Where is Mendel's Second Law manifested?


Question: Extensive formation of hard tissue on dentin walls, often in response to irritation or death and replacement of odontoblast, this process is called as


Question: A control valve with an air-to-close configuration means ( )


Question: When carried externally on a bomb rack, the pull ring & reinforced adhesive foil strip are removed from a MK 58 marine location marker by what means?


Question: In which year did the famous Taiwanese drama 'In Time with You' (reece 17) first air?


Question: The pH of a buffer solution made by mixing $25 ml$ of $0.02 M\quad NH_4OH$ and $25 ml$ of $0.2 M\quad NH_4Cl$ at $25^oC$ is : $(pK_b\quad of\quad NH_4OH = 4.8)$


Question: The velocity vector of a particle moving in the xy plane is given by v=ti +xj. If initially , the particle was at origin then the equation of trajectory of the projectile is:


Question: A 57-year-old woman comes to the physician because of a 6-month history of tinnitus and progressive hearing loss in the left ear. She has type 2 diabetes mellitus and Raynaud syndrome. Her current medications include metformin, nifedipine, and a multivitamin. She appears well. Vital signs are within normal limits. Physical examination shows no abnormalities. A vibrating tuning fork is placed on the left mastoid process. Immediately after the patient does not hear a tone, the tuning fork is held over the left ear and she reports hearing the tuning fork again. The same test is repeated on the right side and shows the same pattern. The vibration tuning fork is then placed on the middle of the forehead and the patient hears the sound louder in the right ear. Which of the following is the most likely diagnosis?


Question: Calculate the moment of inertia of a rectangular prism with a height of $6 in$, a width of $4 in$, and a length of $10 in$ about its longitudinal centroidal axis is(). The weight is given as $40 lb/ft³$.


Question: In which century were carrots first introduced to Spain by the Moors?


Question:
The freezing point of benzene decrease by ${ 0.45 }^{ 0 }C$ when 0.2 g of acetic acid is added to 20 g of benzene. If acetic acid associates to form a dimer in benzene, percentage association of acetic acid in benzene will be :-
(${ K }_{ f }$ for benzene = 5.12 k kg ${ mol }^{ -1 }$)


Question:
Find vector $\vec{c} \times \left(\vec{a}+3 \cdot \vec{b}\right)$ where
$$
\vec{a}=\begin{vmatrix} \vec{i} & \vec{j} & \vec{k} \\ 5 & 0 & 9 \\ 0 & 1 & 0 \end{vmatrix}, \quad
\vec{b}=\begin{vmatrix} \vec{i} & \vec{j} & \vec{k} \\ 0 & -1 & 1 \\ 7 & 1 & -1 \end{vmatrix}, \quad \text{and} \quad
\vec{c}=\vec{i}-\vec{k}
$$


Question: When a charge of amount Q is given to an isolated metal plate X of surface area A, its surface charge density becomes $\sigma _1$. When an isolated identical plate  Y  is brought close to X, the surface charge density on X becomes $\sigma_2$. When y is earthed, the surface charge density becomes $\sigma_3$.


Question: A beam of linear polarized light is sent through a piece of solid glass tubing 25 cm long and 1 cm in diameter. The tubing is wound with a single layer of 250 turns of enameled copper wire along its entire length. If theVerdetconstant of the glass is 0.05 [(min. of angle) / (oersted- cm)], what is the amount of rotation of the plane of polarization of the light when a current of 5 amperes is flowing through the wire?


Question: Calculate the ratio of the electrical and gravitational forces between a proton and an electron.


Question: What is the earliest modern Chinese play?

Modern and Contemporary Chinese Literature


Question: In which year did Lin Jin Chang win the gold medal for the wood carving competition?


Question: Which OPTAR Fund Category (OFC) is related to Flight Operations?

Aeronautical and Astronautical Science and Technology


Question: A separately excited DC motor has the following nameplate data: $\mathrm{P}_{\mathrm{N}}=2.2 \, \mathrm{kW}$, $\mathrm{U}_{\mathrm{N}}=220 \, \mathrm{V}$, $\mathrm{I}_{\mathrm{N}}=12.6 \, \mathrm{A}$, $\mathrm{n}_{\mathrm{N}}=1500 \, \mathrm{r/min}$. When $\mathrm{n}_{\mathrm{N}}=1550 \, \mathrm{r/min}$, what is the value of the armature current $\mathbf{I_{a}}$?


Question: On Ally McBeal, what is the name of the episode in which Tina Turner played herself?

Choices:
The Tina Turner Episode: The Oddball Special
The Tina Turner Episode: The Oddball Parade
The Tina Turner Episode: The Special Appearance


Question: What is the KEGG of Allopurinol, a medication used to decrease high blood uric acid levels?


Question: In which two types of cloud genera do cirrus clouds mainly appear?


Question: Suppose $n$ is a positive integer. Let $f(n)$ be the sum of the distinct positive prime divisors of $n$ less than $50$ (e.g. $f(12) = 2+3 = 5$ and $f(101) = 0$ ). Evaluate the remainder when $f(1) + f(2) + · · · + f(99)$ is divided by $1000$ .


Question: The reaction to reduce the oxide with C is called _____ , and the reaction to reduce the oxide with CO or H2 is called _____.

Physical Chemistry of Metallurgical Process


Question: On what day, month, and year did Anil Biswas (an Indian communist politician) die?


Question: In a lake, a fish rising vertically to the surface of water uniformly at the rate of $3\ m/s$, observes a bird diving vertically towards the water at a rate of $9\ m/s$ vertically above it. the actual velocity of the dive of the bird is : (Given refractive index water $=4/3$)


Question: After wrapping asbestos, the temperature of the furnace wall is 800°C, the temperature of the interface between refractory materials and building materials is 686°C, the temperature of the interface between building materials and asbestos is 405°C, and the temperature of the outer side of asbestos is 777°C. What is the percentage reduction of heat loss after wrapping asbestos compared with the original?

Fluid Flow and Heat Transfer in Chemical Engineering


Question: Thirty minutes after surgical nasal polyp removal for refractory rhinitis, a 40-year-old man has retrosternal chest tightness and shortness of breath in the post-anesthesia care unit. The surgical course was uncomplicated and the patient was successfully extubated before arrival to the unit. He received 0.5 L of lactated Ringer's solution intraoperatively. The patient was given morphine and ketorolac for postoperative pain. He has a history of obstructive sleep apnea, asthma, hypertension, and sensitivity to aspirin. His daily medications include metoprolol and lisinopril. He has smoked a pack of cigarettes daily for 20 years. Pulse oximetry shows an oxygen concentration of 97% with support of 100% oxygen via face mask. Bilateral wheezes are heard in both lungs. Breath sounds are decreased. The patient's face appears flushed. ECG shows no abnormalities. Which of the following is the most likely underlying cause of this patient's symptoms?

Choices:
Bradykinin-induced angioedema with bronchial irritation


Question: How to reduce or control the occurrence of secondary reactions in the sintering process to avoid aluminum loss?

F) Use lower dissolution temperature, quickly separate red mud and adjust caustic ratio

Choices:
Add more calcium oxide and reduce reaction by extending desiliconization time
Adjust pouring rates, introduce more aluminum sources, and stabilize acid balance
Decrease the sintering rate, hasten mud separation, and alter lime levels
Raise dissolution rates, delay red mud removal, and balance alkali proportions
Increase alkali concentration, increase dissolution temperature and increase sodium ions in solution
Use lower dissolution temperature, quickly separate red mud and adjust caustic ratio
Employ higher cooling rates, increase bauxite input and optimize silica content
Increase reaction temperature, extend reaction time and reduce sodium carbonate content
Enhance heat retention, prolong mixing duration, and modify alumina concentration
Lower the sintering time, decrease used clay types, and moderate sodium levels


Question: In Stendhal's The Red and the Black, Julien's final tragic ending stems from?

A) The huge disparities in social classes and the irreconcilable contradictions that arise from them

Choices:
The huge disparities in social classes and the irreconcilable contradictions that arise from them
The turbulent political environment in France at that time and the strength of the feudal restoration
Vanity, ambition, and misconception of love in his personal character
His blind hatred and unrealistic rebellion against the aristocratic class


Question:
Phosphorous pentachloride decomposes to phosphorous trichloride and chlorine gas at elevated temperatures by the following reaction:
$$PCL_{5}(g) \leftrightharpoons PCL_{3} + Cl_{2}(g) $$
If K$_{c}$ = 1 . 8 at 250$^{0}$C what is the value of K$_{p}$ at the same temperature ?


Question: What training is commonly used for the complete technical training of long jump before the competition?


Question: In which Nebraska city was painter Kathleen Gemberling Adkison born in 1917?


Question: We now define an algorithm: The definition of a(n) is natural numbers in square maze arrangement, read by antidiagonals, where each number represents the step count required to reach a specific position in a square matrix. Given the input x_list (a series of values): [62, 63, 64, 65, 66, 67, 68, 69, 70, 71], determine the corresponding output sequence y_list.


Question: Which of the following methods should be used to treat dark prickly heat?


Question: For a production function with a variable factor of production, what happens to marginal output when total output reaches a maximum and begins to decrease?

H) Decreasing and marginal output less than zero

Choices:
Increasing and marginal output unchanged
Increasing and marginal output greater than zero
Stagnant and marginal output remains unchanged
Decreasing and marginal output less than zero
Decreasing and marginal output greater than zero


Question: A study on predatory species consuming rodents in Finland shows that small mustelids are specialist predators of voles, while foxes and common buzzards also prey on rodents but have a more generalized diet. Both types of predators play a regulatory role in the population size of voles. Small mustelids are more abundant in northern Finland, whereas in southern Finland, predators such as foxes and common buzzards dominate. Based on the mechanisms of population regulation through interspecies interactions, which of the following statements aligns with the fluctuation patterns of vole populations?

E) The population fluctuations of field mice in the northern region are more drastic than those in the southern region.

Choices:
The population fluctuations of field mice in the southern region are more drastic than those in the northern region.
The fluctuation range of vole populations in the southern region is more drastic than in the northern region.
The vole populations in both the northern and southern regions remain stable and unchanged.
The population fluctuations of rodents in the northern region are non-existent compared to the southern region.
The population fluctuations of field mice in the northern region are more drastic than those in the southern region.
The population fluctuations of voles in both regions are minimal and insignificant over time.
The population fluctuations of voles in the northern region are less noticeable than in the southern region.
The population fluctuations of field mice in both regions follow identical patterns annually.
The population fluctuations of foxes in the northern region are more drastic than those in the southern region.
The vole populations in both the northern and southern regions experience equally intense fluctuations.


Question:
Calculate the following products:
$$
\int_{| z |-1} \frac{\mathrm{d} z} {z \operatorname{sin} z};
$$


Question: In November 1929, who first proposed the proletarian drama slogan, and which association was initiated by Shen Duanxian, Zheng Boqi, and others?

Modern and Contemporary Chinese Literature


Question: Emotional disorders typically last for how long?


Question: What is the law of external relations of education?

D) Education should serve socialist construction

Choices:
Education should promote the all-round development of people
Education should follow its own special laws
Education must be entirely controlled by the government
Education should serve socialist construction
Education should prioritize individual achievements over community needs
Education should focus solely on vocational training
Education must eliminate all forms of competition
Education is a social activity to train people
Education should limit access to privileged individuals
Education should discourage critical thinking and innovation


Question: In the evolution from Middle French to modern French, there have been many phonetic changes, which of the following is one of the typical changes?


Question: The bill that proposed the idea of democratizing education and pointed out the direction for France's education reform is ().


Question: How many point does every closed hypersurface in $\mathbb{R}^{n}$ have at which the second fundamental form is positive definite?


Question: Assume the depth of the sound channel in shallow water at the same sound speed is 50m, and the frequency of the sound wave is 1kHz. Estimate the transmission loss when the propagation distance is 10km. The seabed is liquid, with a density 1.5 times that of seawater. The speed in the seabed is 1700m/s, and the sound speed in seawater is 1500m/s. Both the sound source and receiver are at a depth of 25m. It is assumed that within the above distance range, the contribution of only the lowest mode is significant.


Question: For treating febrile diseases entering the nutrient and blood levels, with symptoms such as restlessness and insomnia, the first-choice medication is _______.


Question: A hydrogen atom moving at speed v collides with another hydrogen atom kept at rest. Find the minimum value of v for which one of the atoms may get ionised. The mass of a hydrogen atom $=1.67\times 10^{-27}$kg. Assume completely inelastic collision.


Question: The motion of a particle along a straight line is described by equation $x=8+12t -t^3$, where x is in metre and f in second. The retardation of the particle when its velocity becomes zero is


Question: Three friends decided to go bowling together. They made a friendly wager on the match, with the winner receiving a free beer from the other two guys. In the second frame of the first game, the first friend apparently got a strike when he knocked down all 10 pins. However, the second friend accused the first friend of fouling because his foot went over the line. The first friend denied fouling and wanted to mark down a strike on the scorecard. The second friend refused to give the first friend a strike and wrote in a zero on the scoring sheet. The first friend became enraged. The second friend then went to bowl his frame. As the second friend turned his back, the first friend approached from behind with a bowling ball in his hand. The first friend then raised the bowling ball threatening to hit the back of the second friend's head. The second friend, who had his back turned, did not see the first friend's actions. The third friend saw what the first friend was about to do and could easily have warned the second friend; but the third friend remained silent. The first friend then struck the second friend on the back of the head with the bowling ball, causing a deep scalp wound. If the second friend asserts a cause of action against the third friend, he should

G) not prevail, because the third friend was under no duty to warn the second friend of the danger.

Choices:
not prevail, because the third friend did not directly cause the injury.
not prevail, because the third friend could not have predicted the first friend's actions.
prevail, on account of the third friend's omission to act.
prevail, because the third friend was aware of the danger.
not prevail, as the third friend's silence does not qualify as an act of negligence.
prevail, because the third friend was an accomplice in the first friend's actions.
not prevail, because the third friend was under no duty to warn the second friend of the danger.
not prevail, because the first friend was responsible for his injury.
prevail, because the third friend contributed to his injury by remaining silent.
prevail, because the third friend had a moral obligation to warn him.


Question:
Three pairs of corresponding points are provided with specific values: $z_{1} \leftrightarrow w_{1}$, $z_{2} \leftrightarrow w_{2}$, $z_{3} \leftrightarrow w_{3}$. Write out the corresponding fractional linear transformation, and specify what region the transformation maps the interior of the circle passing through $z_{1}, z_{2}, z_{3}$ or the left side of the line (as observed along $z_{1}, z_{2}, z_{3}$) into.
$$
1 \leftrightarrow 1, \mathrm{i} \leftrightarrow 0, -\mathrm{i} \leftrightarrow -1
$$


Question: In which year were nine Binbet people discovered living in the Australian Gibson Desert?


Question: Under the same conditions, two samples of the same cobalt-60 $\gamma$-radioactive solution were measured. The radioactivity of a 0.1 ml sample was measured at 350 counts per minute, and the radioactivity of a 3.0 ml sample was measured at 9900 counts per minute. Question: What is the resolving time of the counter tube? Assume that the resolving time of other parts of the counter apparatus and the self-absorption effect can be ignored.


Question: Bamboo is tough and upright, more resistant to acids and alkalis, but susceptible to pests. Which of the following is not a reason for this?

H) Lignin is stable, so bamboo is easily eaten by fungi and insects and is not durable.

Choices:
Lignin is stable, so bamboo is resistant to degradation by fungi and insects, making it durable.
Lignin is stable, but not sufficient to prevent bamboo from being eaten by fungi and insects, affecting its durability.
Lignin in bamboo is typical herbaceous lignin, with a higher content than in softwoods and comparable to hardwoods.
Lignin is stable, but the structural arrangement of lignin and hemicellulose is not tight enough to prevent fungal and insect damage, affecting bamboo's durability.
The outer layer of bamboo contains silica cells and cork cells, which are hard cells, making bamboo tough and upright.
Lignin is stable, but the outer layer's silica cells and cork cells are not thick enough to prevent fungi and insect damage, affecting its durability.
Bamboo contains about 2% soluble starch, 1.5% to 6% protein, and 2% to 4% fat. These are nutrients for fungi and insects, making bamboo less durable.
Lignin is stable, so bamboo is easily eaten by fungi and insects and is not durable.
Lignin is less stable, so bamboo is easily eaten by fungi and insects, reducing its durability.
Lignin is less stable, so bamboo is more susceptible to degradation by fungi and insects, reducing its durability.


Question: Newton's laws of motion can be applied to a block in liquid also. Force due to liquid (e.g., upthrust) are also considered in addition to other forces. A small block of weight $W$ is kept inside. The block is attached with a string connected to the bottom of the vessel. Tension in the string is $\dfrac {W}{2}$If weight of the block is doubled (keeping the density constant), then tension in the string becomes $x$ times and the time calculated above becomes $y$ times. Then


Question: Who founded the municipality of La Capilla, Boyacá, Colombia?

Choices:
Juan de la Cruz Aguirre y Aguirres de la Cruz
Juan de la Cruz Aguirre y Aguirre de la Cruz


Question: Find the curvature for the vector function: $\vec{r}(t) = \left\langle \sqrt{2} \cdot e^t, \sqrt{2} \cdot e^{-t}, 2 \cdot t \right\rangle$.


Question: Two guns situated at the top of a hill off height $10\ m$, fire one shot each with the same speed of $\sqrt { 3 } { ms }^{ -1 }$ at same interval of time. One gun fires horizontally and other fires upwards at an angle of $60^o$ to with the horizontal. The shots collide in mid air at the point $P$. Taking the origin of the coordinate system at the four of the hill right below the muzzle, trajectories to be in $x-y$ plane and $g=10\ {ms}^{-2}$

J) they collide at $P$ whose coordinates are given by $\left( 5\sqrt { 3 } ,5 \right) m$

Choices:
one shell is fired $1\ s$ after the firing of the other shell.
they collide at $P$ whose coordinates are given by $\left( 5\sqrt { 3 } ,10 \right) m$
they collide at $P$ whose coordinates are given by $\left( 5\sqrt { 3 } ,7.5 \right) m$
they collide at $P$ whose coordinates are given by $\left( 5\sqrt { 3 } ,0 \right) m$
they collide at $P$ whose coordinates are given by $\left( 5\sqrt { 3 } ,2.5 \right) m$
they collide at $P$ whose coordinates are given by $\left( 5\sqrt { 3 } ,15 \right) m$
one shell reaches the point $P$   at  $1\ s$ from the start of its firing
they collide at $P$ whose coordinates are given by $\left( 5\sqrt { 3 } ,12.5 \right) m$
one shell reaches the point $P$ at  $2\ s$ from the start of its firing
they collide at $P$ whose coordinates are given by $\left( 5\sqrt { 3 } ,5 \right) m$


Question: Two identical balls are dropped from the same height onto a hard surface, the second ball being released exactly when the first ball collision with the surface. If the first ball has made two more collisions by the time the second one collides. Then the coefficient of restitution between the ball and the surface satisfies.

Power Engineering and Engineering Thermophysics


Question:
The displacement y of a particle from the equilibrium position at a time t is given by $\frac{d^2y}{dt^2} + \frac{2 K dy}{dt} + \omega^2y = 0$
Then the time period of vibration is


Question: Two block of mass m and 2m are placed one over the other as shown in fig. The coefficient of friction between m and 2m is $\mu $ and between 2m and ground is $\dfrac { \mu  }{ 3 } $. If a horizontal force F is applied on upper block and T is tension developed in string then choose the incorrect alternative.

Choices:
IF $F=\dfrac { \mu }{ 3 } mg,T=\dfrac { \mu mg }{ 9 }$
IF $F=\dfrac { 2\mu }{ 3 } mg,T=\dfrac { \mu mg }{ 2 }$
IF $F=2\mu mg,T=\dfrac { \mu mg }{ 3 } $
IF $F=\dfrac { 2\mu mg }{ 3 },T=\dfrac { \mu mg }{ 3 }$
IF $F=\dfrac { \mu }{ 3 } mg,T=\dfrac { \mu mg }{ 4 }$
IF $F=\dfrac { \mu }{ 3 } mg,T=\dfrac { \mu mg }{ 6 } $


Question: What is the function of the CXU 4A/B spotting charge?

E) It is used with practice bomb BDU 45/B to provide a day time visual indication of bomb impact point and fuze function

Choices:
It is utilized to improve aerodynamic stability of practice bomb BDU 45/B in air
It marks the impact point using smoke and sound for easy nighttime identification
It is used to increase the weight of practice bomb BDU 45/B for training purposes only
It is designed to enhance explosive yield and impact strength of BDU 45/B bombs
It is used with practice bomb BDU 45/B to provide a day time visual indication of bomb impact point and fuze function
It serves to illuminate the target area for laser-guided bomb operations
It makes the BDU 45/B practice bomb magnetic for naval mine countermeasures
It is integrated to deliver a real-time telemetry feed back to the training pilot
It modifies the explosive content for increased destructiveness of the BDU 45/B
It acts as a guidance system for the practice bomb BDU 45/B in flight


Question: The Basel Accord divides banks into different levels of capital, and the basis for the division is ( ).


Question: In which month and year was it reported that the German Defense Ministry planned to replace its Tornado aircraft with a purchase of 30 Boeing F/A-18E/F Super Hornets, 15 EA-18G Growlers, and 55 Eurofighter Typhoons?


Question: According to Billy, with the development of _______, wireless power transmission is revolutionizing the transmission of electricity from source to device, offering reliable and efficient wireless charging without any cords or cables.


Question: A bike moves with uniform acceleration such that it crosses point $P$ & $R$ at $10\ m/s$ & $50\ m/s$ respectively. If $QR=2PQ$ and time taken in $P-Q$ is $t_{1}$ & $Q-R$ is $t_{2}$ then :-


Question: A rectangular box containing water is accelerated upwards at  $3{ m }/{ s }^{ { 2 } }$  on an inclined plane making  $30 ^ { \circ }$  to the horizontal. The magnitude of slope of the free liquid surface is :  $\left( { g }=9.8{ m }/{ s }^{ { 2 } } \right) $


Question: Only when dealing with Heavy key component, where should we start the step-by-step calculation?

Choices:
Calculate from both ends at the same time.

Mass Transport and Separation Process in Chemical Engineering


Question: When storing tea leaves, it is important to be mindful of light exposure, as light can () be extremely detrimental to the preservation of tea leaves.

E) Accelerate various chemical reactions

Choices:
Decrease the tea's innate color intensity
Promote uniform breakdown of antioxidants
Alter the leaves' natural flavor profile


Question: Let the system $\mathrm{L}$ be formed by two independent subsystems $L1$ and $L2$ in parallel, and the lifetime of $L1.L2$ follows the exponential distribution of parameters $\alpha, \beta(\alpha\neq\beta)$, respectively. What is the density function of the lifetime $\mathrm{Z}$ of system L?

G) $$\left\{\begin{aligned} {{\alpha e^{-\alpha z}+\beta e^{-\beta z}-( \alpha+\beta) e^{-( \alpha+\beta) z},}} & {{z > 0}} \\ {{0,}} & {{z \leq0}} \\ \end{aligned} \right.
$$

Choices:
$$\left\{\begin{aligned} {{\alpha e^{-\alpha z}-\beta e^{-\beta z}-( \alpha+\beta) e^{-( \alpha+\beta) z},}} & {{z > 0}} \\ {{0,}} & {{z \leq0}} \\ \end{aligned} \right.
$$
$$\left\{\begin{aligned} {{\alpha e^{-\alpha z}+\beta e^{-\beta z}-( \alpha-\beta) e^{-( \alpha+\beta) z},}} & {{z > 0}} \\ {{0,}} & {{z \leq0}} \\ \end{aligned} \right.
$$
$$\left\{\begin{aligned} {{\alpha e^{\alpha z}+\beta e^{-\beta z}-( \alpha+\beta) e^{-( \alpha+\beta) z},}} & {{z > 0}} \\ {{0,}} & {{z \leq0}} \\ \end{aligned} \right.
$$
$$\left\{\begin{aligned} {{\alpha e^{-\alpha z}+\beta e^{\beta z}-( \alpha+\beta) e^{-( \alpha+\beta) z},}} & {{z > 0}} \\ {{0,}} & {{z \leq0}} \\ \end{aligned} \right.
$$
$$
\frac{d} {d z} F_{z} ( z )=\left\{\begin{aligned} {{\alpha e^{-\alpha z}+\beta e^{-\beta z},}} & {{z > 0}} \\ {{0,}} & {{z \leq0}} \\ \end{aligned} \right.
$$
$$\left\{\begin{aligned} {{\alpha e^{-\alpha z}+\beta e^{-\beta z}+( \alpha+\beta) e^{-( \alpha+\beta) z},}} & {{z > 0}} \\ {{0,}} & {{z \leq0}} \\ \end{aligned} \right.
$$
$$\left\{\begin{aligned} {{\alpha e^{-\alpha z}+\beta e^{-\beta z}-( \alpha+\beta) e^{-( \alpha+\beta) z},}} & {{z > 0}} \\ {{0,}} & {{z \leq0}} \\ \end{aligned} \right.
$$
$$\left\{\begin{aligned} {{\alpha e^{-\alpha z}+\beta e^{-\beta z}-( \alpha+\beta) e^{( \alpha+\beta) z},}} & {{z > 0}} \\ {{0,}} & {{z \leq0}} \\ \end{aligned} \right.
$$
$$
\frac{d} {d z} F_{z} ( z )=\left\{\begin{aligned} {{\alpha e^{-\alpha z}-\beta e^{-\beta z},}} & {{z > 0}} \\ {{0,}} & {{z \leq0}} \\ \end{aligned} \right.
$$
$$
\frac{d} {d z} F_{z} ( z )=\left\{\begin{aligned} {{\alpha e^{-\alpha z}+\beta e^{\beta z},}} & {{z > 0}} \\ {{0,}} & {{z \leq0}} \\ \end{aligned} \right.
$$


Question: We now define an algorithm: The definition of a(n) is: Conjectured upper bound on the area of the convex hull of any edge-to-edge connected system of n regular unit hexagons (n-polyhexes). Given the input x_list (a series of values): [47, 48, 49, 50, 51, 52, 53, 54, 55, 56], determine the corresponding output sequence y_list.


Question: The main reason for choosing a differential amplifier circuit as the input stage of an integrated operational amplifier is to ( ).


Question: We now define an algorithm: The definition of a(n) is the number of distinct unlabeled connected graphs with exactly n nodes and one cycle of length 3. Given the input x_list (a series of values): [23, 24, 25, 26, 27, 28, 29, 30, 31, 32], determine the corresponding output sequence y_list.


Question: Of the following, which gives the best upper bound for the value of f(N) where f is a solution to the recurrence f(2N + 1) = f(2N) = f(N) + log N for N >= 1, with f(1) = 0?


Question:
A particle of mass 2m is projected at an angle of 45$^o$ with the horizontal with a velocity of 20$\sqrt{2}$m/s. After 1 s of explosion, the particle breaks into two equal pieces.
As a result of this one part comes to rest. The maximum height from the ground attained by the other part is $(g = 10 m/s^2)$


Question: What is the relationship between the centroid inundation depth hC and the pressure center inundation depth hD?

Water conservancy and Hydropower Engineering


Question: The thermal conductivity of germanium is $60 \mathrm{W / m} \cdot \mathrm{K}$, and the resistivity is $0.01\Omega ·m$ for an $\mathbf{n}$-type germanium single crystal. What percentage of the thermal conductivity at 300K is contributed by the charge carriers (assuming long-wavelength acoustic phonon scattering)?


Question: Chinese culture was produced on the basis of a semi-closed large river continental primitive cooperative agricultural natural economy and ( ) the system of enfeoffment based on the clan system, which is reflected in the social and cultural forms of the Xia, Shang, and Zhou dynasties.

Choices:
feudal system with centralization of power
feudal system with integration of family and clan
feudal system with integration of family and state


Question:
In a FRET experiment designed to monitor conformational changes in T4 lysozyme, the fluorescence intensity fluctuates between 5000 and 10,000 counts per second.
Assuming that 7500 counts represents a FRET efficiency of 0.5 , what is the change in FRET pair separation distance during the reaction? For the tetramethylrhodamine/texas red FRET pair employed $r_0=50 . Å$.


Question: What is the general range of aluminum-silicon ratio of Chinese bauxite?


Question: A certain air conditioning system's heat exchanger cools air at a constant pressure with an initial pressure of \( $p_1 = 101 \, \text{kPa}$ \), initial temperature of \( $t_1 = 35 \, \degree \text{C}$ \), and flow rate of \( $q_{m1} = 0.5 \, \text{kg/s}$ \). This air is then mixed in the duct with another airflow that has a flow rate of \( $q_{m3} = 0.25 \, \text{kg/s}$ \), temperature \( $t_3 = 20 \, \degree \text{C}$ \), and the same pressure of $101 kPa$. Given that the heat dissipation rate of the heat exchanger is 15.1 kW, find the airflow temperature \( $t_4 \, \degree \text{C}$ \) inside the duct. It is known that the enthalpy of the air is given by \( $h = c_p \, T_{\degree}$ \).

Power Engineering and Engineering Thermophysics


Question: From the ground level, a ball is to be shot with a certain speed. Graph shows the range $R$ it will have versus the launch angle $\theta$. The least speed the ball will have during its flight, if $\theta$ is chosen such that the flight time is half of its maximum possible value, is equal to (take g = 10 $m/s^{2}$):


Question: Who is known as 'the singer of Svetlana' in Russian literature?


Question: Let $S$ be a finite set of positive integers. Suppose $|S| > 1$ , and when two distinct elements of $S$ are selected uniformly randomly, the remainder when their sum is divided by 1024 is $0, 1, \dots, 1023$ with equal probability. Find the remainder when the smallest possible value of $|S|$ is divided by 1000. (If no such $S$ exists, answer 0.)


Question: A certain high-rise residential building has a raft foundation, with a foundation depth of $7 \mathrm{m}$. The natural unit weight of the soil above the foundation is $20 \mathrm{kN/m}^{3}$, and the characteristic value of the natural foundation bearing capacity is 180 kPa. A composite foundation with cement fly-ash gravel (CFG) piles is used, and on-site tests measured the characteristic bearing capacity of a single pile as 600 kN. The piles are arranged in a square pattern, with a pile diameter of 400 mm and a spacing of $1.5 \mathrm{m} \times 1.5 \mathrm{m}$. The reduction coefficient for the pile-soil bearing capacity, $\beta$, is taken as 0.95. Which of the following options should the foundation pressure of this building not exceed?


Question: A solid sphere of radius $R$ is set into motion on a rough horizontal surface with a linear speed ${v}_{0}$ in forward direction and an angular velocity ${ \omega  }_{ 0 }={ v }_{ 0 }/2R$ in counter coefficient of friction is $\mu$, then find the time after which sphere starts pure rolling.


Question: In the lactose manipulator, ___ binding to a deterrent protein can turn on transcription of structural genes on the lactose manipulator.


Question: A $\mathrm{C u}-{30}\%\mathrm{Z n}$ brass cold-rolled sheet undergoes 25% cold deformation, reducing its thickness to $1 \, \mathrm{cm}$. Then, the thickness is further reduced to $0.6 \, \mathrm{cm}$. Calculate the total engineering strain and true linear strain.


Question: At a given temperature if $V_{rms}$ is the root mean square velocity of the molecules of a gas and $V_s$ be the velocity of sound in it, then these are related as $\left(\gamma = \dfrac{C_p}{C_v} \right)$

E) $$v_{rms} = \left(\dfrac{3}{\gamma} \right) \times v_s$$

Choices:
$$v_{rms} = \sqrt{\dfrac{\gamma}{1.5}} \times v_s$$
$$v_{rms} = \sqrt{\dfrac{\gamma}{4}} \times v_s$$
$$v_{rms} = \sqrt{\dfrac{\gamma}{5}} \times v_s$$
$$v_{rms} = \sqrt{\dfrac{3}{\gamma}} \times v_s$$
$$v_{rms} = \left(\dfrac{3}{\gamma} \right) \times v_s$$
$$v_{rms} = \sqrt{\dfrac{\gamma}{6}} \times v_s$$
$$v_{rms} = \sqrt{\dfrac{\gamma}{7}} \times v_s$$
$$v_{rms} = \sqrt{\dfrac{\gamma}{3}} \times v_s$$
$$v_{rms} = \sqrt{\dfrac{\gamma}{2}} \times v_s$$


Question: The maximum daily water usage as the design water usage, refers to ( ).

G) Maximum daily water consumption within the design life span

Choices:
Cumulative daily usage over the design life span
The sum of the daily maximum water usage for various purposes
The highest daily water consumption within a year
Highest seasonal water usage within the design life span
The yearly peak of daily water usage averages
Average daily water usage throughout the design period
Maximum daily water consumption within the design life span
Design maximum monthly water usage for the year
Design the maximum daily water usage for the year
Highest monthly water usage within the design life span


Question: Under Chinese law, According to the principle of public trust, which of the following statements about the change of property rights is correct?

A) The registrant of immovable property enjoys the property rights registered under their name.

Choices:
The registrant of immovable property enjoys the property rights registered under their name.
The holder of immovable property retains the rights without the need for registration.
The proprietor of immovable property incurs obligations only through formal registration.
Immovable property rights are presumed without the owner's possession or registration.
C. The law presumes that the possessor of immovable property enjoys property rights to the property they possess.
D. If the holder of movable property rights does not deliver the property, the legal effect of the change of movable property ownership generally does not occur.
The owner of movable property can transfer rights without any formal documentation.
The possessor of immovable property automatically gains the rights without any registration.
The registrant of immovable property needs additional verification to enjoy the property rights.
If the change of immovable property rights is not registered, it cannot produce the legal effect of the change.


Question:
The average windspeed over the region of the Antarctic Circumpolar Current is about \( 10 \, \text{m/s} \). Using this information:
a. Estimate the mean wind-stress (\( \tau \)) at the ocean-atmosphere interface, given \( C_D = 10^{-3} \), \( \rho_a = 1.2 \, \text{kg/m}^3 \).
b. If a unidirectional wind blows over an initially motionless water column of 10 m thickness, calculate the flow velocity of this layer after 3 hours. Assume the water density \( \rho = 1025 \, \text{kg/m}^3 \).


Question: What are the thermoelectric power and Peltier coefficient of n-type PoTe with a conductivity of 2000 S/cm, an electron mobility of $6000 \ \mathrm{cm}^{2} / ( \mathrm{V} \cdot \mathrm{s} )$, and an effective electron mass of $0.2 \ m_{0}$, assuming long-wavelength acoustic scattering at room temperature?


Question: The average wind speed over a city is 3 m/s. The length of the city in the wind direction is 15 km and the width is 5 km. The height of the mixed layer over the city is 1000 m. The concentration of CO in the upwind direction (i.e., the background concentration) is 5 μg/m³. The emission rate of CO in the city is 4×10^-6 g/s∙㎡. What is the CO concentration in μg/m3 estimated by the trial box model for this city?

Atmospheric Physics and Atmospheric Environment


Question: Which category of movement structure does football belong to?


Question: When considering the division of various activity areas, preschool teachers should also consider the need of children to extend the activities in one activity area to other activity areas. What do we need to pay attention to in the specific planning and reasonable layout of the activity area?

Choices:
Compatibility between various activity areas


Question: If $r=5\times 10^{-4}m\quad \rho=10^3Kgm^{-3},g=10m/s^{2},T=0.11Nm^{-1}$ the radius of the drop when it detached from the dropper is approximately:


Question: Find the sum of the series $\sum_{n=0}^\infty \left(\frac{ (-1)^n }{ (2 \cdot n+1)! }\right)$ with an estimate error of $0.01$.


Question: In which year was the Kangri cancer effect first studied?


Question: The deepest earthquake depth recorded so far is about _____.


Question: What does Say consider the subject of study in political economy?

J) Principles of the production, distribution, and consumption of wealth

Choices:
Patterns of the development, distribution, and depletion of wealth
Concepts of the creation, allocation, and utilization of wealth
The Laws of Production and Distribution of Wealth
The laws of the development and change of the relations of production
Regulations of the production, exchange, and storage of wealth
Rules of the production, accumulation, and use of wealth
Principles of the accumulation, allocation, and management of wealth
Theories of the production, distribution, and optimization of wealth
The laws of production, distribution, exchange, and consumption of wealth
Principles of the production, distribution, and consumption of wealth


Question: Analysis of the teeth of a hominid species discovered in Malapa Cave in South Africa, dating just after 2 million years ago, indicates a diet that consisted primarily of:

Choices:
primarily C4 plants that included corn and potatoes.
a balanced diet of fruits, vegetables, meat, and fish.
primarily C3 plants that included barley and oats.
large quantities of insects and small mammals.
C4 grasses that may have included wild wheat.


Question: In optical systems, what is Abbe (Abbe) theory primarily used to describe?


Question: The width of the one-way motor vehicle lane on a certain road section is 8 meters, with intersections spaced 300 meters apart. Both ends use signal control with a green signal ratio of 0.48, and there is a median strip between the motor vehicle lane and the non-motorized vehicle lane. Calculate the design traffic capacity for this section of the road as ( ).

Traffic Information Engineering and Control


Question: The indices of refaction ofused slicand polystyene wihin the iblesecrun are 1.458 ad 1.60, respectively. For each of these materials determine the fraction of the relative dielectric constant at 60 Hz that is due to electronic polarization, using the data of Table 18.5. Neglect any orientation polarization effects is().


Question: Using the Hamilton-Jacobi equation to find the motion of a system with the Hamiltonian function $H=p^{2}-q$ is ().

I) $$
\xi=-t+\frac{\partial W} {\partial E}=-t \pm\sqrt{E+q}
$$
$$
p=\frac{\partial W} {\partial q}=\pm\sqrt{E+q}=\xi+t, \quad q=( \xi+t )^{2}-E
$$

Choices:
$$
\xi=t-\frac{\partial W} {\partial E}=t \mp\sqrt{E+q}
$$
$$
p=\frac{\partial W} {\partial q}=\mp\sqrt{E+q}=\xi+t, \quad q=( \xi+t )^{2}+E
$$
$$
\xi=-t-\frac{\partial W} {\partial E}=-t \mp\sqrt{E-q}
$$
$$
p=\frac{\partial W} {\partial q}=\mp\sqrt{E-q}=\xi-t, \quad q=( \xi+t )^{2}+E
$$
$$
\xi=-t+\frac{\partial W} {\partial E}=-t \pm\sqrt{q-E}
$$
$$
p=\frac{\partial W} {\partial q}=\pm\sqrt{q-E}=\xi+t, \quad q=( \xi+t )^{2}+E
$$
$$
\xi=t+\frac{\partial W} {\partial E}=t \pm\sqrt{E-q}
$$
$$
p=\frac{\partial W} {\partial q}=\pm\sqrt{E-q}=\xi-t, \quad q=( \xi-t )^{2}+E
$$
$$
\xi=-t-\frac{\partial W} {\partial E}=-t \pm\sqrt{E-q}
$$
$$
p=\frac{\partial W} {\partial q}=\pm\sqrt{E-q}=\xi+t, \quad q=( \xi-t )^{2}+E
$$
$$
\xi=t+\frac{\partial W} {\partial E}=t \mp\sqrt{q+E}
$$
$$
p=\frac{\partial W} {\partial q}=\mp\sqrt{q+E}=\xi-t, \quad q=( \xi-t )^{2}+E
$$
$$
\xi=t+\frac{\partial W} {\partial E}=t \mp\sqrt{E+q}
$$
$$
p=\frac{\partial W} {\partial q}=\mp\sqrt{E+q}=\xi-t, \quad q=( \xi-t )^{2}-E
$$
$$
\xi=-t+\frac{\partial W} {\partial E}=-t \mp\sqrt{q-E}
$$
$$
p=\frac{\partial W} {\partial q}=\mp\sqrt{q-E}=\xi+t, \quad q=( \xi+t )^{2}+E
$$
$$
\xi=-t+\frac{\partial W} {\partial E}=-t \pm\sqrt{E+q}
$$
$$
p=\frac{\partial W} {\partial q}=\pm\sqrt{E+q}=\xi+t, \quad q=( \xi+t )^{2}-E
$$
$$
\xi=-t+\frac{\partial W} {\partial E}=-t \mp\sqrt{E-q}
$$
$$
p=\frac{\partial W} {\partial q}=\pm\sqrt{E+q}=\xi+t, \quad q=( \xi+t )^{2}+E
$$


Question: Radio waves coming at angle $lpha$ to vertical are received by a ladder after reflection from a nearby  water surface and also directly. What can be height of antenna from water surface so that it records a maximum intensity (a maxima) (wavelength = $\lambda$)

Information and Communication Engineering


Question: Let the random variable $X \sim U(0, \pi)$, $Y = \sin X$. Use the characteristic function to find $f_{Y}(y)$ is ().


Question: What is the engine cc of the Honda Juno M85 (1962)?


Question: Calculate pH of 0.1 M $H_{2}S$ solution (Given $K_{a_{i}}=10^{-7}$ and $K_{a_{2}}=10^{-14})$


Question: How many alcohol hydroxyl groups are contained in the glucose group of a cellulose macromolecule?


Question: When the distance a point radiation source is halved, the radiation level will be

Radiation Protection and Nuclear Technology Applications


Question: How much power is required by an electric heater to melt $5$ kg of ice at $\displaystyle { 0 }^{ \circ  }C$ in $2$ mins if $60\%$ heat is supplied by the heater? ($L = 336$ J/g)

Power Engineering and Engineering Thermophysics


Question: Calculate the pH of a buffer solution prepared by dissolving 10.6 g of $Na_2CO_3$ in 500 ml of an aqueous solution containing 80 ml of 1 M HCl. ($K_a$ for $HCO_3^-=6\times 10^{-11}$)


Question: In a stream of traffic, 30% of the vehicles travel at a constant speed of $60 \mathrm{km/h}$, 30% at $80 \mathrm{km/h}$, and the remaining 40% at $100 \mathrm{km/h}$. An observation vehicle drives at a steady speed of $70 \mathrm{km/h}$ along with the traffic flow for 5 km, during which 17 vehicles overtake the observation vehicle. When the observation vehicle travels 5 km against the traffic flow at the same speed, it encounters 303 oncoming vehicles. What are the average speed and flow rate of the traffic stream?

Traffic Information Engineering and Control


Question: A 0.2 m^3 container holds oxygen at 70°C and 25 bars. Calculate the amount of oxygen in the container if the atmospheric pressure is 1 bar.

Power Engineering and Engineering Thermophysics


Question: Which is the world's earliest pharmacopoeia monograph?

Choices:
"Freshly Compiled Prescriptions Listing"


Question: _____ is a natural or man-made phenomenon that causes rapid and temporary changes in the environment. It alternately appears with stable and normal environment and constitutes the evolution of the environment.


Question: Find the sum of the series $\sum_{k=2}^\infty \left(\frac{ 3^{k-1} }{ 4^{3 \cdot k+1} }\right)$.


Question:
Let $a, b$ be positive integers such that
$$$\gcd(2019!, 2020!, a, b) \cdot \text{lcm}(2019!, 2020!, a, b) =\sqrt{ab \cdot 2019! \cdot 2020!}.$$$
Find the minimum possible value of $a+b.$


Question:
In a survey of 500 randomly selected high school students, it was determined
that 288 played organized sports. What is the probability that a randomly
selected high school student plays organized sports?


Question: We know that $y'=(x+y) / 2$, we also know that $y(x=0) = 2, y(x=0.5) = 2.636, y(x=1) = 3.595, y(x=1.5) = 4.9868$, what is the value of y(2) using Adams bashforth predictor method.


Question: There is an ammonia refrigeration device, t_k = 30°C, t_0 = -15°C, the overcooling degree of liquid refrigerant in front of the expansion valve is 5°C. If the conditions on the high pressure side are the same and the evaporation temperature drops to -25°C, what percentage of the cooling coefficient is reduced from the original cooling coefficient?

Power Engineering and Engineering Thermophysics


Question: In a 2K x 8 memory chip, which uses a dual decoding method, the number of output signals from the decoder is______.


Question: What is the indicator for evaluating a material's resistance to water damage?


Question: Which Buddhist sect's theoretical doctrine has the Five Teachings and Judgments?


Question: What is the apparent magnitude of the NGC 1569 galaxy?


Question: How long is the wavelength of the easterly wave typically?


Question:
Set the lattice constant of a two-dimensional square grid to $a$. If the electron energy can be expressed as
$$
E ( \, k \, )={\frac{h^{2} ( \, k_{x}^{2} \,+\, k_{y}^{2} \, )} {2 m_{n}^{*}}} \,,
$$
what is the density of states?


Question: At the interface between air $( \mu_{\mathrm{r}} = 1 )$ and soft iron $( \mu_{\mathrm{r}} = 7000 )$, the angle between the magnetic flux density in the soft iron and the normal to the interface is $85^{\circ}$. What is the angle between the magnetic flux density in the air and the normal to the interface?