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
A train is traveling at 90 km/h and its whistle has a frequency of $5 0 0 \mathrm{H z}$ , how much does the frequency change of the whistle a person hears when the train passes him as he stands by the tracks ___.
===Choices
$5 5 0 \ \mathrm{H z}$
... | $4 6 6 \ \mathrm{H z}$ | general_qa | 211 |
The following is a multiple choice question (with answers).
===Question
The r.m.s. value of current for a variable current $i=i_{1}$ cos $\omega t+i_{2}$:
===Choices
$$\frac{1}{\sqrt{2}}(i_{1}+i_{2})^{2}$$
\(\dfrac{1}{2}(i_{1}^{2} + i_{2}^{2}) \)
$$\frac{1}{\sqrt{2}}(i_{1}^{2}+i_{2}^{2})^{1/2}$$
\(\dfrac{1}{2}(i_{1}^{... | $$\frac{1}{\sqrt{2}}(i_{1}^{2}+i_{2}^{2})^{1/2}$$ | general_qa | 375 |
The following is a multiple choice question (with answers).
===Question
Which 2019 film by director Peter Chan is a drama set against the backdrop of World War II?
===Choices
Revered
Cherished
Beloved
Adored
Valued
Loved
Treasured
Esteemed
Precious
Dearest | Dearest | general_qa | 71 |
The following is a multiple choice question (with answers).
===Question
What is the angle between the line connecting the principal points of two neighboring images and the line connecting the two frame markers of the image sub in the direction of flight along the air strip called?
===Choices
Angle of roll parallel to... | Angle of rotation of the image film | general_qa | 136 |
The following is a multiple choice question (with answers).
===Question
Which of the following liver cell necrosis belongs to apoptosis?
===Choices
Lytic necrosis
Fibrinoid necrosis
Gangrenous necrosis
Bridging necrosis
Fragmented necrosis
Punctate necrosis
Eosinophilic necrosis
Coagulative necrosis
Caseous necrosis
L... | Eosinophilic necrosis | general_qa | 90 |
The following is a multiple choice question (with answers).
===Question
It is known that the kinetics of recrystallization for some alloy obeys the Avrami equation, and that the value of $n$ in the exponential is 5.0. If, at some temperature, the fraction recrystallized is 0.30 after 100 min, determine the rate of recr... | $$
8. 7 6 \, \times\, 1 0^{-3} \mathrm{( m i n )}^{-1}
$$ | general_qa | 435 |
The following is a multiple choice question (with answers).
===Question
White light reflected from a soap film(Refractive Index$=1.5$) has a maxima at $600$nm and a minima at $450$nm with no minimum in between. Then the thickness of the film is _____$\times 10^{-7}$m.
===Choices
$$5$$
$$6$$
$$2.5$$
$$1$$
$$2$$
$$4$$
$... | $$3$$ | general_qa | 111 |
The following is a multiple choice question (with answers).
===Question
In the Rutherford scattering experiment, the number of alpha particles scattered at an angle $\theta = 60^0$ is 36 per minute. The number of alpha particles per minute scattered at angles $\theta = 90^0$ is (Assume all other conditions to be identi... | 144 | general_qa | 113 |
The following is a multiple choice question (with answers).
===Question
Consider a granite column with a cross-sectional area of $A$ and a length of $l$, connected at both ends to other rock blocks. Suppose the temperature of the column suddenly drops by 40°C, while the distance between the two ends remains unchanged. ... | $70kg/cm^{2}$ | general_qa | 218 |
The following is a multiple choice question (with answers).
===Question
Which class among the following arthropods contains both two sets of respiratory organs and excretory organs?
===Choices
Arachnida
Insecta
Hexapoda
Tenebrionidae
Chilopoda
Myriapoda
Scorpiones
Crustacea
Diplopoda
Trilobita | Arachnida | general_qa | 85 |
The following is a multiple choice question (with answers).
===Question
Which organ's sympathetic and parasympathetic nerves have non-antagonistic functions?
===Choices
small intestine smooth muscle
bronchial smooth muscle
myocardium
liver
adrenal medulla
gallbladder
salivary gland
sweat glands
pancreas
skeletal muscl... | salivary gland | general_qa | 81 |
The following is a multiple choice question (with answers).
===Question
In agriculture, what is usually the crop with high water use efficiency?
===Choices
soybeans, grown mainly for protein
rice, cultivated in flooded fields
wheat, harvested in many countries
barley, known for brewing beer
sunflower, valued for its o... | sorghum, suitable for arid areas | general_qa | 115 |
The following is a multiple choice question (with answers).
===Question
What is the dimensionless set of pressure difference ΔP, density ρ, length L, and flow rate Q?
===Choices
$\sqrt{\frac{\rho}{\Delta p}\frac{Q}{l^2}}$
$\sqrt{\frac{l^2}{\Delta p}\frac{\rho}{Q}}$
$\sqrt{\frac{\Delta p}{\rho}\frac{l^2}{Q}}$
$\Delta p... | $\sqrt{\frac{\rho}{\Delta p}\frac{Q}{l^2}}$ | general_qa | 171 |
The following is a multiple choice question (with answers).
===Question
Based on the free electron model, calculate the period $\Delta(1 / B)$ for potassium, which is ().
===Choices
$$
5. 2 8 \times1 0^{-6} \mathbf{G a u s s}^{-1}
$$
$$
7. 1 3 \times1 0^{-9} \mathbf{G a u s s}^{-1}
$$
$$
6. 3 8 \times1 0^{-8} \mathbf{... | $$
5. 4 6 \times1 0^{-8} \mathbf{G a u s s}^{-1}
$$ | general_qa | 350 |
The following is a multiple choice question (with answers).
===Question
What is the reason that high-pressure operation reduces the pressure difference inside the furnace?
===Choices
Temperature regulation is moderate
The control of airflow is enhanced
Furnace pressure increases uniformly
The distribution of gas is re... | Gas volume reduction | general_qa | 93 |
The following is a multiple choice question (with answers).
===Question
What is $\begin{aligned}\sqrt[3]{\sqrt[3]{2}-1}\end{aligned}$?
===Choices
$\sqrt[3]{\frac18}-\sqrt[3]{\frac27}+\sqrt[3]{\frac47}$
$\sqrt[3]{\frac12}-\sqrt[3]{\frac23}+\sqrt[3]{\frac43}$
$\sqrt[3]{\frac15}-\sqrt[3]{\frac56}+\sqrt[3]{\frac47}$
$\sqr... | $\sqrt[3]{\frac19}-\sqrt[3]{\frac29}+\sqrt[3]{\frac49}$ | general_qa | 353 |
The following is a multiple choice question (with answers).
===Question
Among the following authors, those who are recognized as part of the "First Wave" of Russian émigré literature include:
I. Kuprin
II. Alexei Tolstoy
III. Bunin
IV. Solzhenitsyn
===Choices
I and II and III
Only III
I and II and III and IV
III and I... | II and III and IV | general_qa | 110 |
The following is a multiple choice question (with answers).
===Question
Someone continuously shoots at a target with the probability of hitting the target each time being $3 / 4$. He keeps shooting until he hits the target. What is the probability that the number of shots taken is 3?
===Choices
$$
( \frac{3} {4} )^{2}... | $$
( \frac{1} {4} )^{2} \times\frac{3} {4}
$$ | general_qa | 277 |
The following is a multiple choice question (with answers).
===Question
What were the main categories and characteristics of porcelain design during the Five Dynasties and Song Dynasty periods?
===Choices
The design of porcelain shapes during the Five Dynasties to the Northern and Southern Song periods can generally b... | The design of porcelain shapes during the Five Dynasties to the Northern and Southern Song periods can generally be divided into categories such as bottles, pots, boxes, jars, and other types. Among the bottles, the plum vase is the most distinctive. | general_qa | 486 |
The following is a multiple choice question (with answers).
===Question
A source of frequency $n$ and an observer are moving on a straight line with velocity $x$ and $y$ respectively. If the source is ahead of the observer and the medium is also moving in the same direction with velocity $Z$, then the apparent frequenc... | $$\displaystyle \frac{V-Z+y}{V-Z+x}n$$ | general_qa | 264 |
The following is a multiple choice question (with answers).
===Question
Let two independent events, $A$ , $B$ and $C$, satisfy the following conditions:
$A B C=\Phi, P (A)=P (B)=P (C) < 1/2$ , and $P \left(A \cup B \cup C \right)= 9/16$. What is the value of $P \left(A \right)$?
===Choices
$$
{\frac{4} {5}}
$$
$$
{\fr... | $$
{\frac{1} {4}}
$$ | general_qa | 218 |
The following is a multiple choice question (with answers).
===Question
A spherical shell of cast iron having an inside radius 2.5 in. and outside radius 6 in., contains a solution which liberates heat at the rate of 0.8 × 10^5 Btu/hr. The outside surface of the shell is held at 120°F. Assuming that the steady state co... | 176°F | general_qa | 176 |
The following is a multiple choice question (with answers).
===Question
$p$ , $q$ , and $r$ are three non-zero integers such that $p + q + r = 26$ and
$$$\frac{1}{p}+\frac{1}{q}+\frac{1}{r}+\frac{360}{pqr}= 1.$$$
Compute $pqr$ .
===Choices
588
568
578
580
564
576
572
582
570
560 | 576 | general_qa | 130 |
The following is a multiple choice question (with answers).
===Question
In a binary bipolar digital baseband transmission system with inter-symbol interference, the signal voltage at the sampling time is known to be 1V, and the noise variance is $20 \mathrm{mW}$. Find the bit error rate of the system is().(assuming 0 a... | $$
{\frac{1} {2}} \operatorname{e r f c} \left( {\frac{1} {\sqrt{2} \sigma_{\mathrm{s}}}} \right).
$$ | general_qa | 509 |
The following is a multiple choice question (with answers).
===Question
The integrated construction equipment mechanical operation line and its supporting solutions for shaft lining installation are applicable to () shaft sinking projects.
===Choices
Shaft diameter 7.0-12.0m, shaft depth 200m
Shaft diameter 6.0-8.0m, ... | Shaft diameter 5.0-10.0m, shaft depth 1000m | general_qa | 269 |
The following is a multiple choice question (with answers).
===Question
What adapter kit is used when launching the MK 25 marker from sonobuoy launchers?
===Choices
The MK 28 MOD 4 adapter kit
The MK 32 MOD 1 adapter kit
The MK 29 MOD 3 adapter kit
The MK 35 MOD 1 adapter kit
The MK 33 MOD 2 adapter kit
The MK 34 MOD ... | The MK 34 MOD 0 adapter kit | general_qa | 147 |
The following is a multiple choice question (with answers).
===Question
particles of masses ${ m }_{ 1 }$ and ${ m }_{ 2 }$ are at a fixed distance apart.if the gravitational field strength at ${ m }_{ 1 }$ and ${ m }_{ 2 }$ are$\overrightarrow { { I }_{ 1 } }$ and $\overrightarrow { { I }_{ 2 } }$ respectively then
... | $${ m }_{ 1 }\overrightarrow { { I }_{ 2 } } - { m }_{ 2 }\overrightarrow { { I }_{ 1 } } =0$$ | general_qa | 347 |
The following is a multiple choice question (with answers).
===Question
A polished stainless steel surface is electrically heated from the bottom to boil water at atmospheric pressure. If the surface temperature is 230 F, calculate the heat flux from the surface to the water and compare this value with the critical hea... | 10888.25 Btu/hr-ft^2 | general_qa | 190 |
The following is a multiple choice question (with answers).
===Question
Using alpha particles and protons with the same energy to collide with a gold foil, the upper limit of the gold nucleus radius is measured. How does the result obtained with proton beams compare to the result obtained with alpha particle beams?
==... | 1/2 | general_qa | 104 |
The following is a multiple choice question (with answers).
===Question
Let ${,{{f}_{n}}{(x)=}{e}^{n(x-1)}{,}{0}lt{x}lt{1}}$, then ${,{{f}_{n}}{(x)}}$ on (0,1) ( )
===Choices
converges uniformly on a subset of [0,1)
converges uniformly on (0,1) but not on the boundary
converges uniformly on (0,1) but not on (0,1]
conv... | converges but not uniformly | general_qa | 184 |
The following is a multiple choice question (with answers).
===Question
Find the refracting angle of a glass prism (n = 1.52) for which the minimum deviation is 15°.
===Choices
31° 20' 10"
27° 44' 36"
24° 05' 50"
25° 30' 20"
26° 15' 55"
33° 33' 30"
32° 10' 05"
30° 45' 50"
28° 50' 45"
29° 55' 40" | 27° 44' 36" | general_qa | 156 |
The following is a multiple choice question (with answers).
===Question
When resolving interregional legal conflicts, which connecting point is completely ineffective?
===Choices
Nationality
Seat of arbitration
Place of contract formation
Language of communication
Location of assets
Domicile
Citizenship of representat... | Nationality | general_qa | 74 |
The following is a multiple choice question (with answers).
===Question
The multidimensional labor market belongs to the () labor market.
===Choices
non-equilibrium
uniformly distributed
dynamically balanced
homogeneous
perfectly competitive
equilibrium
fully integrated
non-homogeneous
partially segmented
consistently... | non-homogeneous | general_qa | 68 |
The following is a multiple choice question (with answers).
===Question
What two types of composition material are used for infrared decoys?
===Choices
Carbon fiber & light-sensitive alloy
Aluminum oxide & magnetic composite
Silicon carbide & acoustic polymer
Thermoplastic & photochromic paint
Nitrocellulose & lumines... | Pyrotechnic & pyrophoric metal | general_qa | 116 |
The following is a multiple choice question (with answers).
===Question
The gravitational potential energy of interactions of a system of six identical particles,each of mass $m$ placed at the vertices of a regular hexagon of side $4a'$ is [PE=0 at infinite separation]
===Choices
\dfrac{-4Gm^2}{a} \left (1+\dfrac{1}{\... | $$\dfrac{-6Gm^2}{a} \left (1+\dfrac{1}{\sqrt3}+ \dfrac{1}{4}\right)$$ | general_qa | 442 |
The following is a multiple choice question (with answers).
===Question
Which of the following is not a climbing vine species?
===Choices
Japanese honeysuckle
European ivy
Chinese wisteria
kiwifruit
celastrus orbiculatus
Morning glory vine
Tropical bower vine
Parthenocissus quinquefolia
Australian silk vine | Parthenocissus quinquefolia | general_qa | 79 |
The following is a multiple choice question (with answers).
===Question
If the demand for a commodity is elastic, it means that a certain drop in price will lead to ().
===Choices
Increase in buyer demand
Increase in the quantity of the commodity supplied
Decrease in the quantity of the commodity supplied
Decrease in ... | Increase in sellers' total revenue | general_qa | 110 |
The following is a multiple choice question (with answers).
===Question
ThepK_aof aspartic acid is 2.8 What is the aspartic acid concentration of a 1M aspartic acid solution maintained at pH 2.8? What is theaspartateion concentration if the pH is raised to 3.8?
===Choices
0.6 M, 0.4 M
0.7 M, 0.3 M
0.5 M, 1 M
1 M, 0.1 ... | 0.5 M, 0.9 M | general_qa | 179 |
The following is a multiple choice question (with answers).
===Question
Let $m_{P}$ be the mass of a proton, $m_{n}$ the mass of a neutron, $M_{1}$ the mass of a $_{10}^{20}Ne$ nucleus and $M_{2}$ the mass of a $_{20}^{40} Ca$ nucleus. Then
===Choices
$$M_{2} < 2M_{1}$$
$$M_{1} = 11(m_{n} + m_{p})$$
$$M_{1} < 9(m_{n} ... | $$M_{1} < 10(m_{n} + m_{p})$$ | general_qa | 268 |
The following is a multiple choice question (with answers).
===Question
Given
$C + 2S \longrightarrow CS_2$, $\Delta { Hf }^{ \circ }$ = + $117.0 KJ mol^{-1}$
$C + O_2 \longrightarrow$, $CO_2,\Delta {Hf}^{\circ }$ = $-393.0 KJmol^{-1}$
$S + O_2 \longrightarrow$, $SO_2,\Delta {Hf}^{\circ }$ = $-297.0 KJmol^{-1}$
The h... | $$-807 KJ MOl^{-1}$$ | general_qa | 301 |
The following is a multiple choice question (with answers).
===Question
If the equilibrium constant for a two-electron redox re- action at 298 $\mathbf{K}$ is $1. 5 \times1 0^{-4}$ , the correspond- ing $\Delta G^{\circ}$ and $E_{\mathrm{c e l l}}^{\mathrm{o}}$ is______ .
===Choices
$$
\Delta G^{\circ}=19.5kJ
$$
$$
\m... | $$
\Delta G^{\circ}=21.8kJ
$$
$$
\mathrm{E}^{\mathrm{o}}=-0.113V
$$ | general_qa | 479 |
The following is a multiple choice question (with answers).
===Question
Most oil and gas reservoirs are found in which of the following formations?
===Choices
Granite and Shale
Carbonate and Sandstone
Basalt and Limestone
Carbonate and Shale
Limestone and Evaporites
Conglomerate and Gravel
Sandstone and Shale
Gneiss a... | Carbonate and Sandstone | general_qa | 96 |
The following is a multiple choice question (with answers).
===Question
The technology applicable for a certain high-precision GNSS dynamic positioning project is ().
===Choices
Multi-path Calibration Technique
Static Synchronous Observation Technology
Sub-meter Accuracy Network
Time-dependant Correction Scheme
Long B... | Virtual Reference Station (VRS) Technology | general_qa | 94 |
The following is a multiple choice question (with answers).
===Question
Consider the following system: $\dot{x} = \begin{bmatrix} 0 & w_1^2 \\ -1 & 0 \end{bmatrix}x + \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}u, \quad w_1 \neq 0$ and $y = [1 \quad 0]x$. Determine the feedback gain matrix $H$ such that the poles are p... | $\mathbf{H} = \begin{bmatrix} 13 \\ \frac{40}{w_1^2} - 1 \end{bmatrix}$ | general_qa | 515 |
The following is a multiple choice question (with answers).
===Question
A tunnel is dug in the earth across one of its diameter. Two masses $m$ and $2m$ are dropped from the two ends of the tunnel. The masses collide and stick each other. They perform $SHM,$ the amplitude of which is $(R = $ radius of earth)
===Choice... | $$R/3$$ | general_qa | 130 |
The following is a multiple choice question (with answers).
===Question
Given that the threshold temperature for the production
of electron-positron pairs is about $6 \times1 0^{9}$ K and that
a proton is 1800 times more massive than an electron,
calculate the threshold temperature for proton-antiproton
pair production... | $$
1. 1 \times1 0^{1 3} \mathrm{K}
$$ | general_qa | 308 |
The following is a multiple choice question (with answers).
===Question
If waves propagate from deep water directly to the shore with a deep-water wave height $ H = 2 \text{m} $ and a period $ T = 10 \text{s} $, what is the wave energy (in terms of power) arriving at a 1 km long coastline? Assume no energy loss during ... | $38310 \text{N/s}$ | general_qa | 203 |
The following is a multiple choice question (with answers).
===Question
Find the number of ways to give $45$ identical pieces of candy to $3$ children, Alex, Bob, and Carl, such that each child receives at least one piece of candy, and Alex receives at least as much candy as each of Bob and Carl.
===Choices
326
322
32... | 323 | general_qa | 111 |
The following is a multiple choice question (with answers).
===Question
Let $R^{3}$have a linear transformation $\sigma$is defined as follows:$\sigma( x_{1}, x_{2}, x_{3} ) \! = \! ( x_{1}+x_{2}, \ x_{2}+x_{3}, \ x_{3} ), \ \ \forall( x_{1}, x_{2}, x_{3} ) \! \in\! R^{3}.$
Which of the following subspaces of $R^{3}$do ... | $$
( 3 ) , ( 4 )
$$ | general_qa | 409 |
The following is a multiple choice question (with answers).
===Question
Media image consists of ()
I. Core media image
II. Subject media image
III. Object media image
IV. Extended media image
===Choices
I,II
II,III
II
IV
I,IV
II,III,IV
I,III
I,II,III
III,IV
II,IV | II,III,IV | general_qa | 85 |
The following is a multiple choice question (with answers).
===Question
In which stage of fruit tree development is the term "fruit set" most relevant?
===Choices
Leaf expansion
Root growth
Dormancy
Flowering
Bud break
Pollination
Seed dispersal
Photosynthesis
Germination
Fertilization | Flowering | general_qa | 67 |
The following is a multiple choice question (with answers).
===Question
What are the similarities between the British and American news and communications industries and countries such as France, Germany, and Italy?
===Choices
the major reliance on agriculture and farming
the socialist principles in economic reform
th... | the capitalist idea of equality and freedom | general_qa | 121 |
The following is a multiple choice question (with answers).
===Question
The upper half of an inclined plane
of inclination 45$^\circ$ is rough while the lower half is smooth. A block
starting from rest at the rate of the plane reaches the bottom of the inclined
plane of length 10 m with a velocity 10 ms$^{-1}$. The val... | $$\mu = \frac{1}{{\sqrt 3 }}\qquad $$ | general_qa | 258 |
The following is a multiple choice question (with answers).
===Question
A deck of playing cards has 52 cards, and each shuffle changes the order of the cards, which is a permutation. If each shuffle strictly follows the operation below: first divide the cards into two equal parts, then interlace the cards from each par... | $(1^2, 2, 8^6), 8$ | general_qa | 293 |
The following is a multiple choice question (with answers).
===Question
Bacterial spores can only be produced by bacteria. bacteria form spores, they have the ability to ().
===Choices
Sports and Reproduction
Eat and Digest
Rest and Reactivate
Develop and Adapt
Grow and Reproduce
Migrate and Colonize
Stay and Evolve
L... | Sports and Reproduction | general_qa | 87 |
The following is a multiple choice question (with answers).
===Question
Differential equation of $y^{\prime}=\frac{y} {x+( y+1 )^{2}} \ \ ( \ y$ is not a Constant function) as the general solution for ______.
===Choices
$$ x=y \left( y+5 \operatorname{l n} | y |-\frac{2} {y}+C \right) $$
$$ x=y \left( y+2 \operatornam... | $$ x=y \left( y+2 \operatorname{l n} | y |-\frac{1} {y}+C \right) $$ | general_qa | 393 |
The following is a multiple choice question (with answers).
===Question
Velocity of a particular of mass 2 kg changes from $ \overrightarrow { V_{ 1 } } =2\hat { i } -2\hat { j } m/s\quad to\quad \overrightarrow { V } =(\hat { i } -\hat { j } )m/s $ after colliding witha plane smooth surface :
===Choices
the angle ma... | the angle made by the plane surface with positive x-axis is $ 90^o + tan^{-1} (1/3) $ | general_qa | 381 |
The following is a multiple choice question (with answers).
===Question
A solution is prepared by mixing 100 mL 0.50 M hydrazoic acid $({ HN }_{ 3 })$, whose ${ K }_{ a }=3.6\times { 10 }^{ -4 }$, with 400 mL of 0.10M cyanic acid (HOCN), whose ${ K }_{ a }=8\times { 10 }^{ -4 }$. Which of the following is (are) true re... | $$[{ H }^{ + }]={ 10 }^{ -2 }M$$ | general_qa | 367 |
The following is a multiple choice question (with answers).
===Question
The average atomic number of elements contained in the main parts of the human body is very close to the average atomic number of air. If a dose of 1 roentgen is equivalent to 1 cm$^{3}$ of air absorbing 0.11 erg of energy, then how much energy is ... | 78.6 Erg | general_qa | 177 |
The following is a multiple choice question (with answers).
===Question
A 37-year-old Anglo-American man is admitted to the hospital for treatment for cocaine dependency. He says he has tried repeatedly to abstain from cocaine use but lives in a part of town where there are heavy drug sales. He did not like his hospita... | Insurance company | general_qa | 270 |
The following is a multiple choice question (with answers).
===Question
Which drug has the effect of warming the middle and promoting qi?
===Choices
Basil
Saffron
Fennel
Ginger
Cinnamon
Black pepper
Cloves
Nutmeg
Cardamom
Turmeric | Cardamom | general_qa | 63 |
The following is a multiple choice question (with answers).
===Question
A journalist covering war zones must follow ().
===Choices
training exercises
local customs only
creative techniques
health regulations
combat strategies
public demands
ethical standards
safety protocols
diplomatic rules
business guidelines | safety protocols | general_qa | 59 |
The following is a multiple choice question (with answers).
===Question
What lies at the heart of a database system?
===Choices
Database transaction log
Data dictionary
Information storage unit
Information management protocol
Data retrieval interface
Database query engine
Database
Database management system
Database a... | Database management system | general_qa | 62 |
The following is a multiple choice question (with answers).
===Question
Gold crystallizes in the face-centred cubic lattice. The number of unit cells in $1\ g$ of gold (atomic mass =$197\ u$) will be
===Choices
5.24 \times 10^{23}
$$15.28\times 10^{20}$$
$$6.02\times 10^{23}$$
6.20 \times 10^{23}
4.52 \times 10^{20}
9... | $$6.02\times 10^{23}$$ | general_qa | 197 |
The following is a multiple choice question (with answers).
===Question
The enthalpy change on freezing $1$ mol of water at ${5}^{o}C$ to ice at $-{5}^{o}C$ is:(Given: ${\Delta}_{fus}H=6kJ{mol}^{-1}$ at ${0}^{o}C$${C}_{P}({H}_{2}O,l)=75.3J{mol}^{-1}$ ${K}^{-1}$,${C}_{P}({H}_{2}O,s)=36.8J{mol}^{-1}$ ${K}^{-1}$)
===Choi... | $$-6.56\ kJ{mol}^{-1}$$ | general_qa | 306 |
The following is a multiple choice question (with answers).
===Question
In maize (corn) plants, a dominant allele I inhibit kernel color, while recessive allele i permits color when homozygous. At a different locus, the dominant allele P causes purple kernel color, while the homozygous recessive genotype pp causes red ... | 9:3:3:1 | general_qa | 177 |
The following is a multiple choice question (with answers).
===Question
Relative humidity φ value can reflect the size of the ability of the wet air to absorb water vapor, when the φ value is large, it means that the wet air's ability to absorb water vapor (), when φ = 0, it means that the air is ().
===Choices
reduce... | small, Dry air | general_qa | 124 |
The following is a multiple choice question (with answers).
===Question
What factors are associated with the definition of the Richard Sun number $\mathbf{R i}$?
===Choices
Altitude differences and atmospheric stability.
Soil moisture levels and vegetation patterns.
Air pressure gradients and solar irradiance.
Climate... | Temperature stratification and wind lead shear. | general_qa | 115 |
The following is a multiple choice question (with answers).
===Question
In the process of blast furnace ironmaking, ( ) and ( ) should be used for the production of high silicon cast iron, and () should be used for the removal of phosphorus, sulfur and carbon.
===Choices
high temperature, low acidity; Medium alkalinit... | high temperature, high acidity; High alkalinity | general_qa | 159 |
The following is a multiple choice question (with answers).
===Question
What is the main approach to solving the problem of spectral overlap of mid-step gratings?
===Choices
Holographic techniques to separate overlapping wavelengths
Grating spacing adjustment to avoid spectral confusion
Inverse diffraction to redirect... | Pre-dispersion in the other direction using another dispersive element | general_qa | 134 |
The following is a multiple choice question (with answers).
===Question
Compute the integral:
$$
\int \frac{ 1 }{ 2 \cdot \sin\left(\frac{ x }{ 2 }\right)^6 } \, dx
$$
===Choices
C - \frac{1}{5} \cdot \left(\cot\left(\frac{x}{2}\right)\right)^5 - \frac{2}{3} \cdot \left(\cot\left(\frac{x}{2}\right)\right)^3 - \frac{3}... | C - \frac{1}{5} \cdot \left(\cot\left(\frac{x}{2}\right)\right)^5 - \frac{2}{3} \cdot \left(\cot\left(\frac{x}{2}\right)\right)^3 - \cot\left(\frac{x}{2}\right) | general_qa | 783 |
The following is a multiple choice question (with answers).
===Question
Each stamen consists of two parts: the filament and______. Each pistil is composed of three parts: _______, the style, and the ovary.
===Choices
The style; the petal
The filament; the ovule
The anther; the petal
The sepal; the style
The anther; th... | The anther;the stigma | general_qa | 119 |
The following is a multiple choice question (with answers).
===Question
The difference benveen the specific heats at constant pressure and constant volume is described by the expression
$$
c_{p}-c_{\nu}=\frac{\alpha_{\nu}^{2} \nu_{0} T} {\beta}
$$
where $\alpha$ is the volume coefficient of thermal expansion, $v_{o}$ i... | $$
4 3 0 \; \mathrm{J / k g-K}
$$ | general_qa | 425 |
The following is a multiple choice question (with answers).
===Question
Which note does the Mixolydian mode with F as the fifth degree start from?
===Choices
♭B
♯C
B
C | C | general_qa | 44 |
The following is a multiple choice question (with answers).
===Question
The object is what the painter aims to depict and represent; it is the objective basis of which?
===Choices
object features
object sketch
object frame
object study
perspective
object texture
object modeling
object image
object outline | object image | general_qa | 63 |
The following is a multiple choice question (with answers).
===Question
Which of the following statements about the basic principle of absorption refrigeration is correct?
===Choices
The generator, absorber, and condenser are equivalent to the compressor in a vapor compression refrigeration system
The generator, absor... | The generator, absorber, and generator pump are equivalent to the compressor in a vapor compression refrigeration system | general_qa | 229 |
The following is a multiple choice question (with answers).
===Question
Reflecting the authenticity of the causal relationship between the independent variable and the dependent variable, what determines the interpretation of the experimental results?
===Choices
Face validity
Predictive validity
Intrinsic validity
Eco... | Intrinsic validity | general_qa | 76 |
The following is a multiple choice question (with answers).
===Question
The primary actuator muscles around the shoulder joint in the hanging cross brace maneuver are ( ).
===Choices
Supraspinatus and subscapularis muscles
Trapezius and rhomboid major muscles
Teres major and levator scapulae muscles
Pectoralis minor a... | Pectoralis major and latissimus dorsi | general_qa | 146 |
The following is a multiple choice question (with answers).
===Question
A primiparous woman, 24 years old, at 39 weeks of gestation, with normal appetite, was admitted to the hospital due to abdominal pain starting at 20:00 last night. She did not sleep all night after admission. This morning, during the ward round, sh... | 100mg pethidine intramuscular injection | general_qa | 241 |
The following is a multiple choice question (with answers).
===Question
The oxidation potential of ${H}_{2}$ electrode ${H}_{2}/{H}_{3}{O}^{+}(aq)$ will be more than zero, if:(keeping all other terms unity)
===Choices
$$\left[ { H }_{ 3 }{ O }^{ + } \right] =0.1M$$
$$\left[ { H }_{ 3 }{ O }^{ + } \right] =0.5M$$
$$\le... | $$\left[ { H }_{ 3 }{ O }^{ + } \right] =1M$$ | general_qa | 291 |
The following is a multiple choice question (with answers).
===Question
Calculate the pH at which an acid indicator with ${ K }_{ a }-1.0\times { 10 }^{ 5 }\ $ changes color when the indicator is $1.00\times { 10 }^{ 4 }$ M.
===Choices
pH = 3.00
pH = 4.00
pH = 5.00
pH = 6.00
pH = 1.00
pH = 2.00
pH = 2.50
pH = 2.25
pH ... | pH = 2.00 | general_qa | 162 |
The following is a multiple choice question (with answers).
===Question
How to Understand Music and the Worship of God?
===Choices
The beginning stage of primordial Chinese music is deeply woven into the spiritual practices, ancestral rites, and ancient narratives. Originally, the term "tune" arises from "tun".
The ea... | The earliest history of ancient Greek music is intricately intertwined with the worship of gods, mythology, and various fantastical legends. Etymologically, the word "music" originates from "muse". | general_qa | 430 |
The following is a multiple choice question (with answers).
===Question
Equal volumes of 1.0$ { M } { KCl }$ and 1.0${ M} { AgNO_{3} }$ , are mixed. The depression of freezing point of the resulting solution will be $(K_{f}{(H_{2}O)}$= $1.86K Kg mol^{-1}$, $1M=1m):$
===Choices
0.465 K
0.93 K
1.395 K
None of these
5.58... | 1.86 K | general_qa | 161 |
The following is a multiple choice question (with answers).
===Question
A monochromatic radiation wavelength ${ \lambda }_{ 1 }$ is the incidenct on the stationary atom as a result of which wavelength of photon after collision becomes ${ \lambda }_{ 2 }$ and recoiled atom has De-Broglie's wavelength ${ \lambda }_{ ... | $${ \lambda }_{ 3 }=\sqrt { { \lambda }_{ 1 }^{ 2 }+{ \lambda }_{ 2 }^{ 2 } }$$ | general_qa | 488 |
The following is a multiple choice question (with answers).
===Question
An aqueous solution containing $28\%$ by mass of a liquid A (molecular mass = 140) has a vapour pressure of 160 mm at $37^oC$. Find the vapour pressure of pure liquid A (the vapour pressure of water $37^oC$ is 150 mm).
===Choices
$$p_A=258.3 mm$$
... | $$p_A=358.3 mm$$ | general_qa | 206 |
The following is a multiple choice question (with answers).
===Question
Express the polynomial $( x+1 ) ( x+2 ) ( x+3 ) ( x+4 )$ as a perfect square form.
===Choices
$$
x^{2}-5x+10
$$
$$
x^{3}+5x+1
$$
$$
x^{2}+5x+4
$$
$$
x^{4}+5x+2
$$
$$
x^{3}+5x+8
$$
$$
x^{2}+5 x \pm5
$$
$$
x^{3}+6x-7
$$
$$
x^{2}-4x+3
$$
$$
x^{2}-5x+... | $$
x^{2}+5 x \pm5
$$ | general_qa | 185 |
The following is a multiple choice question (with answers).
===Question
Using the principal element method to solve systems of equations is for the purpose of ().
===Choices
Lower Computation Complexity
Increase Numerical Stability
Reduce Rounding Errors
Reduce Operating Difficulties
Minimize Processing Times
Improve ... | Reduce Rounding Errors | general_qa | 87 |
The following is a multiple choice question (with answers).
===Question
What was Gustav Arthur Cooper's Ph.D. dissertation titled?
===Choices
Stratigraphy and Paleontology of the Hamilton Group in New York, New Jersey
Stratigraphy and Paleontology of the Hamilton Group in New York, Connecticut
Stratigraphy and Paleont... | Stratigraphy of the Hamilton Group of New York | general_qa | 185 |
The following is a multiple choice question (with answers).
===Question
Find the radius of convergence of the series:
$$
\sum_{n=1}^\infty \left( \left(n^{\frac{ 1 }{ n }}-1\right)^n \cdot x^n \right)
$$
===Choices
e^(-1)
e
e^(-1/2)
e^(-2)
2
0
e^(1/2)
e^2
1
∞ | ∞ | general_qa | 105 |
The following is a multiple choice question (with answers).
===Question
Among the six pernicious influences, the one characterized by damaging body fluids without depleting energy is ______.
===Choices
Chill
Fire
Water
Dampness
Wind
Dryness
Cold
Heat
Humidity
Moisture | Dryness | general_qa | 66 |
The following is a multiple choice question (with answers).
===Question
A company has a debt of 20 million yuan, a par value of 40 million yuan, a market value of 80 million yuan, and an annual operating income of 4 million yuan. The company's debt-to-asset ratio is ( ).
===Choices
20%
50%
35%
60%
37.5%
30%
45%
40%
25... | 33.33% | general_qa | 106 |
The following is a multiple choice question (with answers).
===Question
In the relay protection of the power system, what characteristics of overcurrent protection can effectively prevent unnecessary tripping?
===Choices
Endurance time characteristic and current limit characteristic; the current limit characteristic m... | Definite time characteristic and inverse time characteristic; the inverse time characteristic can prevent maloperation. | general_qa | 199 |
The following is a multiple choice question (with answers).
===Question
A random variable$\mathbf{X} \sim\mathbf{t} ( \mathbf{n} ) \ , \mathbf{Y} \sim\mathbf{F} ( \mathbf{1} \, \mathbf{n} )$ , given $\alpha(0 < \alpha< 0.5)$ , the constant $\mathbf{C}$ satisfies $P (x > c)=2$. What is the value of $P (y > c^{2})$ ?
==... | $$2a
$$ | general_qa | 189 |
The following is a multiple choice question (with answers).
===Question
A doctor injects a patient with $13$ milligrams of radioactive dye that decays exponentially. After $12$ minutes, there are $4.75$ milligrams of dye remaining in the patient's system. Which is an appropriate model for this situation?
===Choices
f(... | f(t)=13\cdot e^{\frac{\ln\left(\frac{4.75}{13}\right)}{12}\cdot t} | general_qa | 427 |
The following is a multiple choice question (with answers).
===Question
In a packed tower, water is used to absorb a solute component from a mixed gas, with a required absorption rate of 98.5%. The gas-liquid equilibrium equation under operating conditions is Y=2.0X, then the minimum liquid-to-gas ratio is ( )
===Choi... | 1.97 | general_qa | 125 |
The following is a multiple choice question (with answers).
===Question
Suppose that particles in water are subjected to an erternal force $F ( y )$ that acts in the $y$ direction. The force is related to the potential energy $E_{p} ( y )$ by $F=-d E_{p} / d y$. Neglect gravity and buoyancy effects. Apply Newton's firs... | $$
p ( y )-p ( 0 )=\int F ( y ) C ( y ) d y.
$$ | general_qa | 379 |
The following is a multiple choice question (with answers).
===Question
When the inscribed sphere of the first Brillouin zone is a Fermi sphere, the average number of free electrons per atom that corresponds to each in the body-centered cubic structure is approximately (); when the circumscribed sphere of the first Bri... | $1.48$; $4.19$ | general_qa | 228 |
The following is a multiple choice question (with answers).
===Question
Which Tang dynasty figure was the chief editor of the geographical work titled <Kuar-di Zhi>?
===Choices
Li Zhi
Li Bai
Li Yuan
Li Tai
Li Wei
Li Zong
Li T'ai-zu
Li T'ai
Li Jie | Li Tai | general_qa | 71 |
The following is a multiple choice question (with answers).
===Question
Problem 2.52 We know that the charge on a conductor moves to the surface, but determining how it is distributed there is not straightforward. A famous example where the surface charge density can be explicitly calculated is the ellipsoid:
$$
\frac{... | $$
\frac{Q} {2 \pi R} \frac{1} {\sqrt{R^{2}-r^{2}}}.
$$ | general_qa | 479 |
The following is a multiple choice question (with answers).
===Question
A vessel containing water is suspended from a spring balance. The spring balance reads $15kg$. When a piece of iron of mass $1.8kg$, suspended by a string is immersed with half of its volume inside the water the reading of the spring balance is (r... | $$15.115kg$$ | general_qa | 165 |
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