problem stringlengths 14 4.09k | solution stringlengths 1 802k | task_type stringclasses 3
values | problem_tokens int64 5 895 |
|---|---|---|---|
The following is a multiple choice question (with answers).
===Question
Two metallic shells with charges q each are kept in air with their centre distance r. The magnitude of electrostatic force between them is:$\left( {K = \frac{1}{{4\pi {\varepsilon _0}}}} \right)$
===Choices
less than $K\frac{{q^2}}{{r^2}}$
cant be... | more than $K\frac{{{q^2}}}{{{r^2}}}$ | general_qa | 227 |
The following is a multiple choice question (with answers).
===Question
An antenna array consists of three vertical and parallel half-wave dipoles, all centered on a horizontal line. They are spaced at $\lambda/4$, fed with currents of the same amplitude, but with a progressive phase difference of δ radians between seq... | 1.111rad | general_qa | 170 |
The following is a multiple choice question (with answers).
===Question
A particle P is sliding down a frictionless hemispherical bowl. It passes the point A at $t=0$. At this instant of time, the horizontal component of its velocity is v. A bead Q of the same mass as P is ejected from A at $t=0$ along the horizonal st... | $$t_P < t_Q$$ | general_qa | 334 |
The following is a multiple choice question (with answers).
===Question
The principle of Simultaneous Distillation Extraction (SDE) is _____
===Choices
Pressure Merges Contrasting Elements
Cold Fuses Elements Together
Solids Separate from Liquids
Heat Drives Out Impurities
Water Melds with Oil
Opposite Attracts Opposi... | Like Dissolves Like | general_qa | 97 |
The following is a multiple choice question (with answers).
===Question
By adopting a symmetric Hall plate structure and periodically switching the sensing and driving electrodes, which of the following measurement errors can be suppressed?
===Choices
sensitivity offset caused by temperature
output voltage fluctuation... | voltage offset caused by slowly varying stress | general_qa | 135 |
The following is a multiple choice question (with answers).
===Question
Obtain the time function corresponding to F(s) = [(s^2 + 3s + 1) / {(s + 1)^3 (s + 2)^2}]
===Choices
F(t) = - (3/2) t^2e^-t + 5te^-t - 6e^-t + (2/3)te^-2t + 3e^-2t
F(t) = (1/3) t^2e^-t - te^-t + e^-t - (2/3)te^-2t - 3e^-2t
F(t) = (1/2) t^2e^-t - 3... | F(t) = - (1/2) t^2e^-t + 3te^-t - 4e^-t + te^-2t + 4e^-2t | general_qa | 476 |
The following is a multiple choice question (with answers).
===Question
Consider Earth as a spherically symmetric body consisting of two parts: a mantle with radius R and a core with radius R/2, each with uniform density, where core density is f times mantle density. If Earth's moment of inertia is 1/3 MR², what is the... | 3.29 | general_qa | 129 |
The following is a multiple choice question (with answers).
===Question
At $30 ^ { \circ } \mathrm { C } ,$ the solubility of $\mathrm { Ag } _ { 2 } \mathrm { CO } _ { 3 }$ ( $\mathrm { K } _ { sp } = 8 \times 10 ^ { - 2 }$ ) will be maximum in -
===Choices
$$0.05 \mathrm { M } \mathrm { Na } _ { 3 } \mathrm { PO... | $0.05 \mathrm { M }$ $\mathrm { Na } _ { 2 } \mathrm { CO } _ { 3 }$ | general_qa | 360 |
The following is a multiple choice question (with answers).
===Question
In which year did President of the Central Military Commission Xi Jinping approve the Chinese military's new establishment of the 'August 1 Medal' and organize the first selection process?
===Choices
2019
2018
2014
2013
2015
2016
2020
2011
2012
20... | 2017 | general_qa | 100 |
The following is a multiple choice question (with answers).
===Question
$v_1$ and $v_2$ are velocities of a particle under the resultant motion of two parallel SHMs of amplitudes $r_1$ and $r_2$ and same period with zero phase difference. At the displacement $x_1 = r_1$ and $x_2 = r_2$. The ratio ($v_1/v_2$)
===Choice... | $$\sqrt{r_2(r_2 + 2r_1)/r_1(r_1+2r_2)}$$ | general_qa | 403 |
The following is a multiple choice question (with answers).
===Question
What can provide a good initial value for trend calculation?
===Choices
Market Evaluation
Value Approximation
State Estimation
Pattern Recognition
Result Prediction
System Modeling
Error Correction
Component Analysis
Algorithm Testing
Data Segment... | State Estimation | general_qa | 60 |
The following is a multiple choice question (with answers).
===Question
A plane wave $y=a sin(bx+ct)$ is incident on a surface. Equation of the reflected wave is $y'=a'sin(ct-bx)$ Which of the following statement is not correct?
===Choices
Reflecting surface is y-z plane.
a' can be equal to a.
The wave is incident on ... | a' cannot be greater than a. | general_qa | 109 |
The following is a multiple choice question (with answers).
===Question
In 1930, the Nationalist government promulgated the Mining Law to monopolize mineral resources. The Mining Law stipulates that the types of minerals with state-owned mining rights are __.
===Choices
More than 100
More than 60
More than 20
More tha... | More than 50 | general_qa | 118 |
The following is a multiple choice question (with answers).
===Question
In which year was the Spanish painter Ramón Assume Travis born?
===Choices
1845
1848
1847
1842
1840
1844
1841
1846
1849
1843 | 1841 | general_qa | 79 |
The following is a multiple choice question (with answers).
===Question
A sound wave starting from source S, follows two paths SEFD and SEABFD. If AB = l, AE = BF = 0.6 l and wavelength of wave is $\lambda = 11$ m. If maximum sound heard at D, then minimum value of length l is
===Choices
7 m
12 m
2.5 m
4 m
5 m
8 m
11 ... | 9 m | general_qa | 112 |
The following is a multiple choice question (with answers).
===Question
Of the reactive power supply groups listed below, which one has a completely positive voltage regulation effect?
===Choices
Phase-shifting Transformer, SR type Static Reactive Power Compensator, TSC type Static Reactive Power Compensator
Phase-shi... | Phase-shifting Transformer, SR type Static Reactive Power Compensator, TSC type Static Reactive Power Compensator | general_qa | 224 |
The following is a multiple choice question (with answers).
===Question
Material at an angular distance of 0.2" from the Galactic center is observed to have an orbital speed of 1200 km/s. If the Sun's distance to the Galactic center is 8 kpc, and the material's orbit is circular and is seen edge-on, calculate the radiu... | $$
3 9. 8 \mathrm{~ y r s}
$$
$$
2. 6 {\times} 1 0^{6} M_{\odot}
$$ | general_qa | 517 |
The following is a multiple choice question (with answers).
===Question
In a heavily polluted industrialized area in England about 87 percent of the moths of the speciesBistonbetulariaare melanic(dark colored). If the frequency of recessives is 0.13, what is the frequency of the dominant allele leading to melanism? Wha... | 0.64, 0.53 or 53% | general_qa | 240 |
The following is a multiple choice question (with answers).
===Question
The cusp closest to the wall of the floor of the maxillary sinus is ( ).
===Choices
mandibular second molar
maxillary second bicuspid
maxillary second molar
mandibular first premolar
maxillary first premolar
mandibular first molar
maxillary third ... | maxillary first molar | general_qa | 99 |
The following is a multiple choice question (with answers).
===Question
Which phenomenon involves the formation of high-altitude ice crystals that can create optical effects like halos and sundogs?
===Choices
Radiation of light beams
Reflection
Diffraction of solar waves
Scattering
Sublimation of cloud particles
Conde... | Atmospheric refraction | general_qa | 89 |
The following is a multiple choice question (with answers).
===Question
The equilibrium constant for the reaction will be:$Cu(s) + Cu^{2+} (aq.)\rightleftharpoons 2Cu^{+}(aq.)$$E_{Cu^{2+}/Cu}^{\circ} = 0.34\ V \ E_{Cu^{2+}/ Cu^+}^{\circ} = 0.15\ V$(Given: $\log 3.72 = 0.571$)
===Choices
$$3.72\times 10^{-6}$$
$$3.72 \... | $$3.72\times 10^{-6}$$ | general_qa | 270 |
The following is a multiple choice question (with answers).
===Question
A beam of length $l$ lies on the $+x$ axis with its left end on the origin. A cable pulls the beam in negative y-direction with a force $\displaystyle F= F_0 \left( 1 - \frac{x}{l} \right)$. If the axis is fixed at x=0 then find the torque.
===Ch... | $$\displaystyle - \frac{F_0 l}{6}$$ | general_qa | 235 |
The following is a multiple choice question (with answers).
===Question
For diagnostic studies of the lung, it would be convenient to have radioactive particles that tag the air and that are small enough to penetrate all the way to the alveoli. It is possible to make the isotope 99m Tc into a "pseudogas" by burning a f... | $$
2. 1 1 \times1 0^{-1 0} \mathrm{{m}}^{2} {\mathrm{s}}^{-1}
$$ | general_qa | 571 |
The following is a multiple choice question (with answers).
===Question
Determine the period of oscillation of mercury of mass m = 200g poured into a bent tube whose right arm forms an angle $\theta$ = 30 with the vertical. The cross-sectional area of the tube S = 0.50 $cm^{2}$. The viscosity of mercury is to be neglec... | 0.8 sec | general_qa | 135 |
The following is a multiple choice question (with answers).
===Question
In temperate Earth environments (atmosphere, ocean, etc.), approximately 0.014% of hydrogen ions are deuterium (H³). In modern environments, purple water emerging from Earth's interior contains 10% less D than above. Assuming all Earth's water is a... | $H_{12}/H_{11} = 1.11:1$ | general_qa | 318 |
The following is a multiple choice question (with answers).
===Question
What were the population counts for the two municipalities of Mitrovica according to the 2011 census?
===Choices
97,678
97,676
97,687
97,696
97,688
97,674
97,684
97,668
97,686
97,694 | 97,686 | general_qa | 109 |
The following is a multiple choice question (with answers).
===Question
For $0 \leq p \leq 1/2$, let $X_1, X_2, \dots$ be independent random variables such that \[ X_i = \begin{cases} 1 & \mbox{with probability $p$,} \\ -1 & \mbox{with probability $p$,} \\ 0 & \mbox{with probability $1-2p$,} \end{cases} \] for all $i \... | \frac{1}{4} | general_qa | 328 |
The following is a multiple choice question (with answers).
===Question
A wooden block is floating in a liquid. About $50\%$ of its volume is inside the liquid when the vessel is stationary. Percentage volume immersed when the vessel moves upwards with acceleration $a=\dfrac{g}{2}$ is
===Choices
$$25\%$$
$$58.33\%$$
$... | $$50\%$$ | general_qa | 151 |
The following is a multiple choice question (with answers).
===Question
An inductor of inductance L = 8 H and resistor of resistance $ R = 2 \Omega $ are connected in series with a battery of emf E = 10 V.If the switch is closed at t = 0,then the voltage drop across the inductor at t = 1 s will be (in volts)
===Choice... | $$ \frac {5}{2} \theta^{1/2} $$ | general_qa | 232 |
The following is a multiple choice question (with answers).
===Question
Expand the function $f(z) = \frac{1}{z^2 + 1}$ into series at $z = -1$ and $z = \infty$ respectively.
===Choices
$$
\sum_{n=0}^{\infty} \frac{( -\mathrm{i} )^{n}} {( z+\mathrm{i} )^{n+3}}
$$
$$
\sum_{n=0}^{\infty} \left(-1 \right)^{n} \frac{z^2} {... | $$
\sum_{n=0}^{\infty} \frac{( 2 \mathrm{i} )^{n}} {( z+\mathrm{i} )^{n+2}}
$$
$$
\sum_{n=0}^{\infty} \left(-1 \right)^{n} \frac{1} {z^{2 \left( n+1 \right)}}.
$$ | general_qa | 859 |
The following is a multiple choice question (with answers).
===Question
Which of the following statements about earlywood and latewood is incorrect? Consider the following statements:
I. Earlywood is located on the inner side of the annual ring, formed during the early growth period, and is lighter in color, while late... | II | general_qa | 175 |
The following is a multiple choice question (with answers).
===Question
Which predecessor's stylistic characteristics did German composer Richard Strauss follow in his symphonic music with programmatic titles?
===Choices
Mozart
Haydn
Tchaikovsky
Mendelssohn
Mahler
Schubert
Berlioz
Beethoven
Wagner
Brahms | Wagner | general_qa | 78 |
The following is a multiple choice question (with answers).
===Question
A plane 1-GHz traveling wave in air with peak electric field intensity of 1 v/m is incident normally on a large copper sheet. Find the average power absorbed by the sheet per square meter of area.
===Choices
75n W/m^2
116n W/m^2
130n W/m^2
80n W/m... | 116n W/m^2 | general_qa | 144 |
The following is a multiple choice question (with answers).
===Question
A primary cell is composed as follows:
Electrode I: A copper sheet is inserted into a solution of $2.0 \ \mathrm{mol} \cdot \mathrm{dm}^{-3} \, \mathrm{CuSO}_{4}$ and an equal volume mixture of $10 \ \mathrm{mol} \cdot \mathrm{dm}^{-3}$ ammonia sol... | $$
1. 6 \times1 0^{1 3}
$$ | general_qa | 376 |
The following is a multiple choice question (with answers).
===Question
Who is the composer of the song 'The Four GreatDetectives'?
===Choices
Kwan Shing Yao
Kwan Shing Yau
Kwan Shing Yauo
Kwan Shing Yaw
Kwan Shing Yawu
Kwan Shing Yauu
Kwan Shing Yauw
Kwan Shing Yoe
Kwan Shing Yow
Kwan Shing Yeu | Kwan Shing Yau | general_qa | 104 |
The following is a multiple choice question (with answers).
===Question
What was the science of architecture and civil construction known as in ancient India?
===Choices
Vastu-Vidya
Sthapatya-Vidya
Sthapatya-Veda
Sthapatya-Shastra
Vastu-Shastra-Shastra
Sthapatya-Shastra-Veda
Sthapatya-Veda-Shastra
Vastu-Shastra-Vidya
... | Sthapatya-Shastra | general_qa | 119 |
The following is a multiple choice question (with answers).
===Question
The predictive equation established for a certain time series is \hat{Y}_{t}=100-20x, indicating the quantity for each period of the time series ().
===Choices
Projected decrease of 100.
Forecasted increase of 100.
Average increase of 100
Expected... | Average reduction of 20. | general_qa | 134 |
The following is a multiple choice question (with answers).
===Question
Circular hole sieves are used to separate ____.
===Choices
Light of different brightness
Air of varying humidity
Soil of different moistures
Sand of varying coarseness
Grain of different widths
Metals of different magnetism
Rocks of differing hard... | Grain of different widths | general_qa | 86 |
The following is a multiple choice question (with answers).
===Question
According to ICMR the most common cause of infant moality is:
===Choices
Malnutrition
Diarrhoeal diseases
Acute respiratory illness
Prematurity
Neonatal sepsis
Acute respiratory diseases
Congenital anomalies
Acute respiratory infection
Neonatal in... | Prematurity | general_qa | 81 |
The following is a multiple choice question (with answers).
===Question
Coal road headings, headings in roadways with gas outflow, and rock road headings shall not use the exhaust ventilation method.
===Choices
Coal and rock, semi-coal rock, and rock road headings with high gas outflow
Rock road headings
Coal and rock... | Coal and rock, semi-coal rock, and headings in roadways with gas outflow | general_qa | 185 |
The following is a multiple choice question (with answers).
===Question
The boundary between outer space and airspace is ( ).
===Choices
Defined by the lowest altitude of satellite orbit
Defined by the Kármán line
Defined by international law
Defined by the highest altitude of aircraft flight
Not yet determined
Define... | Not yet determined | general_qa | 102 |
The following is a multiple choice question (with answers).
===Question
What kind of social relationship is the true guarantee of morality?
===Choices
Religion
Interpersonal relationships
Culture
Law
Society
Economy
Tradition
Education
Politics
Internal | Interpersonal relationships | general_qa | 54 |
The following is a multiple choice question (with answers).
===Question
What studies the maximum that can be carried out in metallurgical reactions?
===Choices
Physical metallurgy
Metallurgical mechanics
Metallurgical thermodynamics
Metallurgical physics
Chemical metallurgy
Industrial metallurgy
Metallurgical kinetics... | Metallurgical thermodynamics | general_qa | 77 |
The following is a multiple choice question (with answers).
===Question
Which of the following is a key theoretical cornerstone of dialectical naturalism?
===Choices
Kantian Concept of Landscape
Marxist View of Nature
Hegelian Concept of Ecology
Democratic Understanding of Nature
Cartesian Analysis of Environment
Util... | Marxist View of Nature | general_qa | 99 |
The following is a multiple choice question (with answers).
===Question
Find the derivative of $f(x) = \frac{ 1 }{ 15 } \cdot \left(\cos(x)\right)^3 \cdot \left(\left(\cos(x)\right)^2-5\right)$.
===Choices
-\frac{\left(\cos(x)\right)^2}{15}\cdot\left(3\cdot\sin(x)\cdot\left(\left(\cos(x)\right)^2-5\right)-2\cdot\cos(x... | -\frac{\left(\cos(x)\right)^2}{15}\cdot\left(3\cdot\sin(x)\cdot\left(\left(\cos(x)\right)^2-5\right)+\cos(x)\cdot\sin(2\cdot x)\right) | general_qa | 297 |
The following is a multiple choice question (with answers).
===Question
Company A often dispatches its salesperson B to enter into contracts with Company C. After B was transferred, he still signed a contract with Company C, who was unaware of his transfer, using a contract book stamped with Company A's seal, and withd... | Company A should bear the consequences of the contract signing | general_qa | 263 |
The following is a multiple choice question (with answers).
===Question
A tree's annual ring consists of earlywood and latewood from the same year. In hard pines of the Pinus genus, the transition from earlywood to latewood is often abrupt, such as (); while in soft pines, such as (), the transition from earlywood to l... | IV, I, VIII, V | general_qa | 256 |
The following is a multiple choice question (with answers).
===Question
Vaccine against the most common HPV types that cause genital infections was approved in 2006. Which population(s) is it aimed for use in?
===Choices
Young adult males and females
Women with diagnosed cervical cancer
Women with precancerous cervica... | Adolescent and young adult females | general_qa | 115 |
The following is a multiple choice question (with answers).
===Question
In the context of fruit tree breeding, what is the significance of "self-incompatibility"?
===Choices
It prevents fertilization by pollen from different trees to enhance genetic diversity.
It prevents fertilization by pollen from the same tree to ... | It prevents fertilization by pollen from the same tree to enhance genetic diversity. | general_qa | 184 |
The following is a multiple choice question (with answers).
===Question
System shown in figure is released from rest pulley and spring is massless and friction is absent everywhere. The speed of 5kg block when 2 kg block leaves the contact with ground is given by $n\sqrt{2} $ m/sec then find the value of n, (K=40N/m & ... | 2 | general_qa | 124 |
The following is a multiple choice question (with answers).
===Question
What kind of modulation is shown in the following example:
L:1/8
M:2/4
K:G
z2 B2 | c2 Ad | dG B2 | c2 Ad | dG B2 | F2 dc | B d2 c | F2 B2 |] %8
===Choices
Cross relation
Distant modulation
Closely related modulation
Enharmonic modulation | Distant modulation | general_qa | 102 |
The following is a multiple choice question (with answers).
===Question
If the initial conditions for the Lagrangian gyro are $\theta=60^{\circ}, \ \dot{\theta}=0, \ \dot{\varphi}=2 \sqrt{\frac{m g l} {3 I_{1}}}, \ \omega_{z}=\frac{I_{1}} {I_{3}} \sqrt{\frac{3 m g l} {I_{1}}}$, determine the value of $\sec \theta=()$ i... | $$
1+\operatorname{s e c h} {\sqrt{\frac{m g l} {I_{1}}}} t
$$ | general_qa | 398 |
The following is a multiple choice question (with answers).
===Question
Calculate the annual rainfall of a certain area to be 600mm, the irrigated area to be 1000m ², and the water supply coefficient to be 0.8. What is the required amount of irrigation water?
===Choices
460m³
520m³
540m³
550m³
470m³
450m³
600m³
500m³
... | 480m³ | general_qa | 128 |
The following is a multiple choice question (with answers).
===Question
The three changes in the development of teacher education are: from () to (), from () to (), and from primary teacher education to secondary teacher education.
===Choices
institutional; personal; ethical; non-ethical
localized; national; philosoph... | private; public; religious; secular | general_qa | 155 |
The following is a multiple choice question (with answers).
===Question
What is the gas exchange between the alveoli and the blood called?
===Choices
Alveolar diffusion
Cellular exchange rate
Bronchial circulation
Internal respiration
Pulmonary air flow
Oxygen absorption rate
Blood gas transport
Tissue ventilation
Pul... | Pulmonary ventilation | general_qa | 79 |
The following is a multiple choice question (with answers).
===Question
The function \( f(z) = \cos(\sqrt{z}) \) has a canonical product representation. Using the infinite product representation of \(\sin(z)\), which of the following expressions correctly represents \( f(z) \)?
===Choices
\( f(z) = \prod_{n=1}^{\infty... | \( f(z) = \prod_{n=1}^{\infty} \left( 1 - \frac{z}{(2n-1)^2} \right)^2 \) | general_qa | 473 |
The following is a multiple choice question (with answers).
===Question
What types of financial crimes are included in China?
===Choices
The crime of the fraudulent acquisition of financial assets outlined in Section 6 of Chapter 3, "Financial Misconduct," of the Third Part of the Commercial Law of the People's Republ... | The crime of foreign exchange fraud as outlined in the "Decision of the Standing Committee of the National People's Congress on Punishing Crimes of Fraudulent Acquisition of Foreign Exchange, Illegal Foreign Exchange Transactions, and Foreign Exchange Evasion." | general_qa | 269 |
The following is a multiple choice question (with answers).
===Question
The coefficient of linear expansion of a rod of length 1 m, at $ 27^o $ C is, varying with temperature as $ lpha = 2/T\ unit (300 K \le T \le 600 K) $ where T is the temperature of rod in Kelvin. The increment in the length of rod if its temper... | $$3 m$$ | general_qa | 173 |
The following is a multiple choice question (with answers).
===Question
During a two-month span, there were 15 bank robberies in the city area. The robberies were carried out by a single individual who entered the banks wearing a ski mask and carrying a machine gun. The police received information from a reliable infor... | granted with respect to the money, but denied with respect to the ski mask. | general_qa | 565 |
The following is a multiple choice question (with answers).
===Question
A slender missile is flying at Mach 1.5 at low altitude. Assume the wave generated by the nose of the missile is a Mach wave. This wave intersects the ground 559 ft behind the nose. At what altitude is the missile flying?
===Choices
$$
{h=5 1 0 ~ ... | $$
{h=5 0 0 ~ f t}
$$ | general_qa | 228 |
The following is a multiple choice question (with answers).
===Question
In a non-degenerate $\mathrm{p}$-type silicon substrate, a certain concentration of indium is present, with a measured hole concentration at room temperature of $p_{0} = 1.1 \times 10^{16} \, \mathrm{cm}^{-3}$. At room temperature, the silicon's $N... | $$
2. 2 \times1 0^{1 5} \mathrm{c m}^{-3}
$$ | general_qa | 523 |
The following is a multiple choice question (with answers).
===Question
A binary system consists of two stars in a circular orbit about a common center of mass with an orbital period, $P_{\mathrm{o r b}}=1 0$ days. Star 1 is observed in the visible band, and Doppler measurements show that its orbital speed is $v_{1}=2 ... | $$1 4 ~M_{\odot}$$ | general_qa | 282 |
The following is a multiple choice question (with answers).
===Question
A plate-and-frame filter press operates under constant pressure to filter a water suspension with a solid content of 0.1 kg solid per kg of suspension. The porosity of the filter cake is $\varepsilon = 0.4$; the density of the particles is $\rho_{\... | $0.11m^3$ | general_qa | 242 |
The following is a multiple choice question (with answers).
===Question
What component of a stringed instrument generates the sound?
===Choices
The neck
The soundboard
The strings
The bridge | The strings | general_qa | 40 |
The following is a multiple choice question (with answers).
===Question
What type of slide should be used for microscopic examination of the starch granules?
===Choices
Chloroform liquid holding slide
Xylene on microscopic slide
Sudan II Liquid Solution
Water setup piece
Ethanol under glass slide
Chloral Hydrate Liqui... | Water setup piece | general_qa | 104 |
The following is a multiple choice question (with answers).
===Question
Calculate the concentration of fluoro acetic acid which is required to get $\left [ H_{3}O^{+} \right ] = 1.5\times 10^{-3}M$. $K_{a}$ of the acid is $2.6 \times10^{-3}$.
===Choices
$$0.023 \times10^{-4}M$$
2.3 \times10^{-4}M
1.3 \times10^{-4}M
1.... | $$2.3 \times10^{-3}M$$ | general_qa | 187 |
The following is a multiple choice question (with answers).
===Question
Consider a system consisting of $N$ ($N \gg 1$) distinguishable, non-free-moving, non-interacting atoms. Each atom can occupy two non-degenerate energy levels, $0$ and $\varepsilon > 0$. $E / N$ is the average energy per atom.
In thermal equilibriu... | $$
k \bigg[ \frac{E} {N \varepsilon} \mathrm{l n} \: \frac{N \varepsilon} {E}+\Big( 1-\frac{E} {N \varepsilon} \Big) \mathrm{l n} \: \frac{1} {1-\frac{E} {N \varepsilon}} \bigg]
$$ | general_qa | 883 |
The following is a multiple choice question (with answers).
===Question
In which month and year did American Vice-President Al Gore and Russian Prime Minister Viktor Chernomyrdin announce plans for a new space station, which eventually became the International Space Station?
===Choices
October 1992.
August 1993.
March... | September 1993. | general_qa | 123 |
The following is a multiple choice question (with answers).
===Question
Three partieles, each of mass $m$ are situated at the vertices of an equilateral triangle of side $a$. The only forces acting on the particles are their mutual gravitational forces. It is desired that each particle moves in a circle while maintaini... | $$\displaystyle T= 2\pi \sqrt{\frac{a^{3}}{3Gm}}$$ | general_qa | 291 |
The following is a multiple choice question (with answers).
===Question
The surrounding rock of the tunnel is hard rock, the rock mass is relatively intact, with a blocky or thick-layered structure. The fundamental quality index of the surrounding rock is 550-451 MPa, this surrounding rock belongs to ( ).
===Choices
V... | II | general_qa | 92 |
The following is a multiple choice question (with answers).
===Question
Use the Wilke equation to calculate the diffusion coefficient of acetic acid in a dilute aqueous solution at 283K.
===Choices
$$
D \!=\! 2. \, 3 8 4 \! \times\! 1 0^{-8} \, {\mathrm{m}}^{2} / {\mathrm{s}}
$$
$$
D \!=\! 3. \, 5 0 8 \! \times\! 1 0^... | $$
D \!=\! 1. \, 3 2 5 \! \times\! 1 0^{-9} \, {\mathrm{m}}^{2} / {\mathrm{s}}
$$ | general_qa | 528 |
The following is a multiple choice question (with answers).
===Question
Calculate the coefficient of real expansion from the following data. weight of the specific gravity bottle = 40.25 gm, weight of the bottle + liquid at $ 25^0 C = 70.50 gm, $ weight of the bottle + liquid at $ 100^0 C = 69.20 gm $ coefficient of li... | $$ 2.26 \times 10^{-4} \ ^0 C $$ | general_qa | 304 |
The following is a multiple choice question (with answers).
===Question
The number of photons $(\lambda =6630 \overset{o}{A})$ that strike per second on a totally reflecting screen (as shown in figure), so that a force of $1\ N$ is exerted on the screen, is approximately:
===Choices
$$10^{27}$$
$$10^{23}$$
$$10^{26}$$... | $$10^{27}$$ | general_qa | 143 |
The following is a multiple choice question (with answers).
===Question
The conductor ABCDE has the shape shown. It lies in the yz plane, with A and E on the y-axis. When it moves with a velocity $v$ in a magnetic field B, an emf $\varepsilon$ is induced between A and E.
===Choices
$\varepsilon = 2Bav$, if $v$ is in t... | $\varepsilon = B \lambda v$, if $v$ is in the x-direction and B is in the z-direction. | general_qa | 359 |
The following is a multiple choice question (with answers).
===Question
In order to raise the concentration of CO2 in the atmosphere by 1 molecule part per million (ppm), ____ gigatons of CO2 must be put into the atmosphere.
===Choices
3.1
2.7
9.4
6.0
5.3
4.5
7.8
7.1
8.3
8.6 | 7.8 | general_qa | 93 |
The following is a multiple choice question (with answers).
===Question
Using chemical methods to analyze uranium-containing ores, it is pointed out: at equilibrium, there is 3.59 × 10^7 grams of radium in 1 U^{238}. Try to find the decay constant $\lambda$ of uranium. The half-life of radium is equal to 1617 years.
=... | $$
\sim4.88 \cdot 10^{-18} \text{ seconds}^{-1}
$$ | general_qa | 357 |
The following is a multiple choice question (with answers).
===Question
Sow, 115 days pregnant, third parity. After the onset of labor, there has been continuous straining for 20 minutes without the expulsion of the fetus. Vaginal examination reveals a soft and elastic vagina, a distinct cervical canal, and the fetal s... | Insufficient estrogen secretion | general_qa | 164 |
The following is a multiple choice question (with answers).
===Question
Through metabolism, microbial cells achieve ( ).
===Choices
'Procurement of ingredients', 'Generation of energy', 'Release of unneeded substances from cells'
'Subtraction of materials', 'Production of energy', 'Inclusion of unwanted products into ... | 'Acquisition of materials', 'Acquisition of energy', 'Excretion of unwanted products from within cells' | general_qa | 236 |
The following is a multiple choice question (with answers).
===Question
What is true for container ships (check all the correct options)
(1) The single-deck and cargo hold opening are wide
(2) The main engine has high power and high speed
(3) The bulwarks are higher
(4) Square coefficient C, less than 0.61
===Choices
... | (1)(2)(4) | general_qa | 144 |
The following is a multiple choice question (with answers).
===Question
Gauthier claims that there is nothing for practical rationality to be besides:
===Choices
spiritual justification.
logical justification.
aesthetic justification.
moral justification.
an illusion.
emotional justification.
existential justification... | deliberative justification. | general_qa | 73 |
The following is a multiple choice question (with answers).
===Question
Connect the two capacitors, $C_{1}=2.0 \mu\mathrm{F}$ and $C_{2}=8.0 \mathrm{\mu F}$, in series and apply a 300 V DC voltage across them. Disconnect the power source, and separate $C_{1}$ and $C_{2}$ from each other. Then connect the positively cha... | $96~\mathrm{V},~96~\mathrm{V}$ | general_qa | 310 |
The following is a multiple choice question (with answers).
===Question
A block of 4 kg mass starts at rest and slides a distance d down a friction less incline (angle ${ 30 }^{ \circ }$) where it runs into a spring if negligible mass. The block slides an additional 25 cm before it is brought to rest momentarily by co... | 25 cm | general_qa | 168 |
The following is a multiple choice question (with answers).
===Question
The thoracic cavity is a progressive characteristic in the evolutionary process of animals. In which class did it first appear?
===Choices
Reptiles
Fish
Crustaceans
Mammals
Arachnids
Insects
Birds
Mollusks
Amphibians | Reptiles | general_qa | 75 |
The following is a multiple choice question (with answers).
===Question
The amino acid with two carboxyl groups mentioned below is _____ acid.
===Choices
aspartic
tyrosine
lysine
alanine
phenylalanine
glutamic
serine
cysteine
methion
threonine | glutamic | general_qa | 69 |
The following is a multiple choice question (with answers).
===Question
What does it mean when the lymph nodes turn black during animal dissection?
===Choices
Fungal growth
Cellular damage
Foreign object
Fluid retention
Tissue expansion
Hemorrhage
Infection
Necrosis
Carbon Accumulation
Pigment buildup | Carbon Accumulation | general_qa | 70 |
The following is a multiple choice question (with answers).
===Question
We now define an algorithm: The definition of a(n) is numbers that cannot be expressed as m^k, where m > 0, k > 1, and m and k are integers. Given the input x_list (a series of values): [62, 63, 64, 65, 66, 67, 68, 69, 70, 71], determine the corres... | [73, 74, 75, 76, 77, 78, 79, 80, 82, 83] | general_qa | 517 |
The following is a multiple choice question (with answers).
===Question
Two wireless phones with matched short dipole antennas having $\mathbf{d}_{\mathrm{e f f}}$ equal one meter communicate with each other over a ten kilometer unobstructed path. What is the maximum power $\mathrm{P_{A}}$ available to the receiver if ... | $1.3$, $6.4\times10^{-6}[W]$ | general_qa | 319 |
The following is a multiple choice question (with answers).
===Question
By which mode do gases primarily exchange at the sea-air interface?
===Choices
Light-layer mode, fixed-surface mode, and rejuvenated-surface mode.
Thin-layer mode, static-surface mode, and reformed-surface mode.
Shallow-layer mode, static-surface ... | Thin-layer mode, stationary-surface mode, and renewed-surface mode. | general_qa | 186 |
The following is a multiple choice question (with answers).
===Question
The van der Waal's equation for a real gas may be rearranged to give $V^3_m-\left(b+\dfrac{RT}{P}\right)V^2_m-\dfrac{a}{P}V_m-\dfrac{ab}{P}=0$ where $V_m$ is the molar volume of the gas. Indicate the correct statement(s) amongst the following.
===... | At temperature less than $T_C$ there are three real values of $V_m$ | general_qa | 272 |
The following is a multiple choice question (with answers).
===Question
The specific absorption coefficient ($a^{1cm}_{1\%}$) of the glycogen-iodine complex at $450nm$ is 0.20. Given an absorbance of 0.38 in an absorption cell with a thickness of $3cm$, calculate the concentration of glycogen in the solution.
===Choic... | $$0.663\%$$ | general_qa | 185 |
The following is a multiple choice question (with answers).
===Question
The option that represents the area of the plane figure enclosed by ( x = 1 - {y^2},;x = 0 ) is
===Choices
( int_0^1 {left[ {sqrt {1 - x} + sqrt {1 - x} } right]dx} )
( int_0^1 {left[ {sqrt {1 - x} - sqrt {1 - x} } right]dx} )
( int_0^1 {left[ {sq... | ( int_0^1 {left[ {sqrt {1 - x} - ( - sqrt {1 - x} )} right]dx} ) | general_qa | 321 |
The following is a multiple choice question (with answers).
===Question
ATP yield in Beta oxidation of palmitic acid ?
===Choices
110 ATP
106 ATP
120 ATP
103 ATP
102 ATP
109 ATP
104 ATP
108 ATP
107 ATP
105 ATP | 106 ATP | general_qa | 78 |
The following is a multiple choice question (with answers).
===Question
A boiler discharges flue gas through a chimney with an internal diameter of 3.5 meters, with a discharge rate of \(3.5 \times 10^5 \, \text{m}^3/\text{h}\). At an average flue gas temperature of 260°C, its average density is \(0.6 \, \text{kg/m}^3\... | $$
4 7. 6 4 \mathrm{m}.
$$ | general_qa | 381 |
The following is a multiple choice question (with answers).
===Question
A 5-year-old child presents with fever, chills, no sweating, nasal congestion and runny nose, mild cough, accompanied by abdominal distension and fullness, vomiting of sour and putrid substances, foul breath, stools with a sour and foul smell, shor... | Common Cold with Stagnation | general_qa | 167 |
The following is a multiple choice question (with answers).
===Question
Statement 1| The maximum margin decision boundaries that support vector machines construct have the lowest generalization error among all linear classifiers. Statement 2| Any decision boundary that we get from a generative model with classcondition... | False, True | general_qa | 153 |
The following is a multiple choice question (with answers).
===Question
What does the study of groundwater recharge include?
===Choices
Forms of precipitation, conditions of accumulation, degrees of permeability
Factors influencing recharge, phases of water cycle, rate of water movement
Categories of recharge sources,... | Sources of recharge, conditions of recharge, amount of recharge | general_qa | 155 |
The following is a multiple choice question (with answers).
===Question
To extinguish an aircraft parachute flare that is burning in the open, which of the following methods should be used?
===Choices
Sand, spread gently from a distance
CO2 extinguishers, in short bursts from afar
Airtight cover to starve oxygen suppl... | Water, in flooding quantities & at low pressure | general_qa | 129 |
The following is a multiple choice question (with answers).
===Question
What are the main measures to prevent rebar corrosion in concrete?
===Choices
Treat the surface of the rebar with alkali
Add corrosion inhibitors to the concrete
Modify the pH level of the concrete
Use galvanized steel for the rebar
Embed sacrific... | Add corrosion inhibitors to the concrete | general_qa | 74 |
The following is a multiple choice question (with answers).
===Question
Upright rock formations are those that ()
===Choices
Tilt degree calculated is near 60°
Declination angle estimated is near 50°
Elevation degree determined is close to 45°
Elevation angle assessed is near 90°
Inclination angle measured is near 45°... | Inclination angle approximated is at 90° | general_qa | 140 |
The following is a multiple choice question (with answers).
===Question
A convex lens made of glass $({\mu}_{g}=3/2)$ has focal length $f$ in air. The image of an object placed infront of it is inverted real and magnified. Now the whole arrangement is immersed in water $({\mu}_{w}=4/3)$ without changing the distance be... | New image will be virtual and magnified | general_qa | 199 |
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