JEE-MAIN SERIES Physics
Kinetic Theory
24 previous year questions.
Volume: 24 Ques
Yield: High
High-Yield Trend
8
2023 6
2022 2
2020 5
2019 1
2017 1
2015 1
2014 Chapter Questions 24 MCQs
01
PYQ 2014
medium
physics ID: jee-main
Modern vacuum pumps can evacuate a vessel down to a pressure of at room temperature . Taking and , the mean distance between molecules of gas in an evacuated vessel will be of the order of :
1
2
3
4
02
PYQ 2015
medium
physics ID: jee-main
In an ideal gas at temperature , the average force that a molecule applies on the walls of a closed container depends on as . A good estimate for is :
1
2
3
4
03
PYQ 2017
medium
physics ID: jee-main
The temperature of an open room of volume increases from to due to the sunshine. The atmospheric pressure in the room remains . If and are the number of molecules in the room before and after heating, then will be :
1
2
3
4
04
PYQ 2019
medium
physics ID: jee-main
An ideal gas occupies a volume of at a pressure of . The energy of the gas is:
1
2
3
4
05
PYQ 2019
medium
physics ID: jee-main
If gas molecules each of mass kg collide with a surface (perpendicular to it) elastically per second over an area with a speed m/s, the pressure exerted by the gas molecules will be of the order of :
1
2
3
4
06
PYQ 2019
medium
physics ID: jee-main
In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation , where is a constant. In this process the temperature of the gas is incresed by . The amount of heat absorbed by gas is (R is gas constant) :
1
2
3
4
07
PYQ 2019
medium
physics ID: jee-main
A mass of nitrogen gas is enclosed in a vessel at a temperature . Amount of heat transferred to the gas, so that rms velocity of molecules is doubled, is about : [Take R = 8.3 J/ K mole]
1
10 kJ
2
0.9 kJ
3
6 kJ
4
14 kJ
08
PYQ 2019
medium
physics ID: jee-main
A vertical closed cylinder is separated into two parts by a frictionless piston of mass and of negligible thickness. The piston is free to move along the length of the cylinder. The length of the cylinder above the piston is , and that below the piston is , such that > . Each part of the cylinder contains moles of an ideal gas at equal temperature . If the piston is stationary, its mass, , will be given by : (R is universal gas constant and is the acceleration due to gravity)
1
2
3
4
09
PYQ 2020
medium
physics ID: jee-main
Consider two ideal diatomic gases and at some temperature . Molecules of the gas A are rigid , and have an mass . Molecules of the gas have an additional vibrational mode, and have a mass The ratio of the specific heats and of gas and , respectively is :
1
5:09
2
7:09
3
3:05
4
5:07
10
PYQ 2020
easy
physics ID: jee-main
Two gases - argon (atomic radius , atomic weight ) and xenon (atomic radius , atomic weight ) have the same number density and are at the same temperature. The ratio of their respective mean free times is closest to :
1
2
3
4
11
PYQ 2022
medium
physics ID: jee-main
A vessel contains of nitrogen gas at a temperature of . The amount of heat to be transferred to the gas to double the r.m.s speed of its molecules will be:
Take
1
2229 J
2
5616 J
3
9360 J
4
13,104 J
12
PYQ 2022
easy
physics ID: jee-main
A water drop of radius 1 cm is broken into 729 equal droplets. If surface tension of water is 75 dyne/cm, then the gain in surface energy upto first decimal place will be :
(Given = 3.14)
(Given = 3.14)
1
2
3
4
13
PYQ 2022
medium
physics ID: jee-main
A monoatomic gas at pressure P and volume V is suddenly compressed to one eighth of its original volume. The final pressure at constant entropy will be :
1
P
2
8P
3
32P
4
64P
14
PYQ 2022
medium
physics ID: jee-main
The relation between root mean square speed and most probable speed ( ) for the molar mass M of oxygen gas molecule at the temperature of 300 K will be
1
2
3
4
15
PYQ 2022
easy
physics ID: jee-main
7 mol of a certain monoatomic ideal gas undergoes a temperature increase of 40 K at constant pressure. The increase in the internal energy of the gas in this process is:
(Given R = 8.3 JK–1 mol–1)
(Given R = 8.3 JK–1 mol–1)
16
PYQ 2022
medium
physics ID: jee-main
According to kinetic theory of gases,
A. The motion of the gas molecules freezes at 0°C
B. The mean free path of gas molecules decreases if the density of molecules is increased.
C. The mean free path of gas molecules increases if temperature is increased keeping pressure constant.
D. Average kinetic energy per molecule per degree of freedom is (for monoatomic gases).
Choose the most appropriate answer from the options given below:
A. The motion of the gas molecules freezes at 0°C
B. The mean free path of gas molecules decreases if the density of molecules is increased.
C. The mean free path of gas molecules increases if temperature is increased keeping pressure constant.
D. Average kinetic energy per molecule per degree of freedom is (for monoatomic gases).
Choose the most appropriate answer from the options given below:
1
A and C only
2
B and C only
3
A and B only
4
C and D only
17
PYQ 2023
easy
physics ID: jee-main
Three vessels of equal volume contain gases at the same temperature and pressure. The first vessel contains neon (monoatomic), the second contains chlorine (diatomic) and the third contains uranium hexafluoride (polyatomic). Arrange these on the basis of their root mean square speed ( ) and choose the correct answer from the options given below:
18
PYQ 2023
easy
physics ID: jee-main
The average kinetic energy of a molecule of the gas is
1
proportional to absolute temperature
2
proportional to volume
3
dependent on the nature of the gas
4
proportional to pressure
19
PYQ 2023
hard
physics ID: jee-main
Heat energy of 735J is given to a diatomic gas allowing the gas to expand at constant pressure Each gas molecule rotates around an internal axis but do not oscillate The increase in the intemal energy of the gas will be :
1
572J
2
735J
3
525J
4
441J
20
PYQ 2023
easy
physics ID: jee-main
According to law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the molecule has one additional vibrational mode is:-
1
2
3
4
21
PYQ 2023
medium
physics ID: jee-main
Ratio between rms speed of Ar to the most probable speed of at is
1
2
3
4
22
PYQ 2023
easy
physics ID: jee-main
The root mean square velocity of molecules of gas is
1
Inversely proportional to square root of temperature
2
Proportional to square root of temperature
3
Proportional to square of temperature
4
Proportional to temperature (T)
23
PYQ 2023
easy
physics ID: jee-main
A message signal of frequency is used to modulate a carrier signal of frequency The bandwidth for amplitude modulation is:
1
2
3
4
24
PYQ 2023
easy
physics ID: jee-main
Given below are two statements :
Statement I : The temperature of a gas is When the gas is heated to , the root mean square speed of the molecules is doubled.
Statement II : The product of pressure and volume of an ideal gas will be equal to translational kinetic energy of the molecules.
In the light of the above statements, choose the correct answer from the options given below:
Statement I : The temperature of a gas is When the gas is heated to , the root mean square speed of the molecules is doubled.
Statement II : The product of pressure and volume of an ideal gas will be equal to translational kinetic energy of the molecules.
In the light of the above statements, choose the correct answer from the options given below:
1
Statement I is false but Statement II is true
2
Both Statement I and Statement II are true
3
Both Statement I and Statement II are false
4
Statement I is true but Statement II is false