Class 11 Physics: Kinetic Theory Mock Test

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Quiz: Kinetic Theory – Certificate Challenge
Total questions: 394
Questions to attempt: 100 random
Time allotted: 100 minutes
Certificate pass score: 70%
Random questions: Yes
Certificate: Yes
Retake: Until certificate earned
Note: Challenge locks after certificate is earned

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Progressive Test — Guest First Round

Kinetic Theory – Progressive Test

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1 / 50

1. In a dilute gas, diffusion is best explained as the result of

a) pressure acting only downward on the bottom surface

b) molecules becoming fixed at the centre of the vessel

c) random molecular motion

d) the absence of collisions between all molecules

2 / 50

2. A gas is heated from to . For the same gas, the rms speed changes by a factor of

3 / 50

3. A molecule has mass , and its gas has molar mass . The correct relation between , , and is

4 / 50

4. A model-boundary statement says, “Equipartition must give the exact heat capacity of every substance at every temperature.” The best correction is that equipartition

a) replaces the need for temperature measurement

b) says every substance has

c) does not apply to any ideal gas

d) classical equipartition has limits

5 / 50

5. For an ideal gas, the number density can be written as . Substituting this in shows that, for fixed and , mean free path is

a) independent of pressure

b) inversely proportional to

c) proportional to square of

d) directly proportional to

6 / 50

6. Match the quantities with their meanings.

Quantity	Meaning
P.	1. Number of molecules in the sample
Q.	2. Amount of gas in moles
R.	3. Molar mass of the gas
S.	4. Mass of one molecule

a) P-4, Q-3, R-1, S-2

b) P-3, Q-4, R-1, S-2

c) P-3, Q-1, R-4, S-2

d) P-2, Q-4, R-1, S-3

7 / 50

7. A gas molecule has at temperature . Another gas molecule has twice the molecular mass and is at temperature . Its rms speed is

8 / 50

8. A statement about gases says, “The molecules in a gas are far apart, so there is no interaction of any kind.” The most accurate correction is that

a) gas molecules must all move with the same speed

b) far-apart molecules cannot have mass

c) far apart on average, yet collisions still occur

d) gas molecules are actually fixed at regular points

9 / 50

9. A monatomic ideal gas undergoes an isothermal expansion. Its internal energy change is

a) equal to because the gas expands

b) negative because pressure decreases

c) positive because volume increases

d) zero; temperature is constant

10 / 50

10. Two ideal gases P and Q have the same density and the same pressure. Gas P has molar mass , while gas Q has molar mass . Their absolute temperatures satisfy

11 / 50

11. A gas has , , molecular diameter , and molar mass . Using , , and , the collision frequency is closest to

12 / 50

12. A gas sample contains of molecules. Using , how many molecules are present?

13 / 50

13. Use the arrangement described below.

Two boxes contain the same number of gas molecules. Box P has volume , while box Q has volume . The gases are otherwise compared only by how many molecules are present per unit volume.

The number density in box Q is

a) twice that in box P

b) four times that in box P

c) equal to that in box P

d) half that in box P

14 / 50

14. A gas has mean free path at pressure and temperature . The gas is changed to pressure and temperature , with molecular diameter unchanged. The new mean free path is

15 / 50

15. The combined ideal-gas equation for moles of gas is

16 / 50

16. The relation follows from by using

a) and

b) and

c) and

d) and

17 / 50

17. A gas has , , and molar mass . Taking , its density and rms speed are closest to

a) and

b) and

c) and

d) and

18 / 50

18. A monatomic ideal gas expands at constant pressure from to against pressure . The change in internal energy is

19 / 50

19. A gas has number density and pressure . Using , its average translational kinetic energy per molecule is closest to

20 / 50

20. A rigid vessel contains helium and nitrogen at in volume . Taking , the partial pressure of helium and total pressure are closest to

a) and

b) and

c) and

d) and

21 / 50

21. Select the rows whose judgements are correct.

Decision	Judgement
P. Use for a dilute gas far from liquefaction	Suitable
Q. Use simple equipartition with only active degrees of freedom	Suitable
R. Use mean-free-path formula without caution in a very dense gas	Not suitable
S. Use Celsius directly in	Suitable

a) Rows P, R, and S

b) Rows Q, R, and S

c) Rows P, Q, and R

d) Rows P, Q, and S

22 / 50

22. A real gas is expected to behave most nearly like an ideal gas when it is at

a) high pressure and high density only

b) low pressure and high temperature

c) low temperature and very small volume

d) high pressure and low temperature

23 / 50

23. Consider the following statements about the classical specific heat of solids.
Statement I: At sufficiently high temperature, many solids have molar heat capacity close to .
Statement II: The classical model treats each atom as vibrating in three independent directions, with kinetic and potential energy contributions.
Statement III: The Dulong-Petit result is exact for every solid at all temperatures.
The correct statements are

a) I and III only

b) II and III only

c) I and II only

d) I, II, and III

24 / 50

24. Two samples of the same ideal gas are at temperatures and . The ratio of their rms speeds is

25 / 50

25. A gas has molecules, each of mass , in volume . If the pressure is , its rms speed is closest to

26 / 50

26. A gas has pressure , density , and molar mass . Its rms speed and temperature are to be compared using . The closest pair is

a) ,

b) ,

c) ,

d) ,

27 / 50

27. In a gas at fixed temperature, pressure is reduced to one-fourth of its original value. Assuming ideal-gas behaviour and unchanged molecular diameter, the mean free path becomes

28 / 50

28. A sealed box contains gas in equilibrium. Pressure on the side wall is not explained mainly by the weight of gas above it because

a) pressure exists only when molecules are motionless

b) only the bottom wall can receive molecular impacts

c) gas molecules do not collide with side walls

d) pressure comes from momentum transfer to every wall

29 / 50

29. For a fixed amount of gas, Boyle's law states that at constant temperature

30 / 50

30. A gas is heated while its volume is allowed to expand, and its pressure is found to change only slightly. Boyle's law should not be directly applied to this change because

a) the amount of gas is fixed

b) the gas has pressure

c) temperature changes

d) the gas occupies volume

31 / 50

31. A gas of molar mass has density at . Taking , its pressure is

32 / 50

32. A gas has , , and molecular diameter . Another state of the same gas has , , and the same . If the initial mean free path is , the final mean free path is

33 / 50

33. The average force exerted by one molecule on a wall can be found from

a) molecular mass divided by container volume

b) wall area divided by molecular speed

c) temperature divided by pressure

d) wall impulse over time between hits

34 / 50

34. A gas is described by the relation . If its pressure is kept constant while its density becomes one-fourth of the original value, the new rms speed becomes

a) times the original value

b) times the original value

c) of the original value

d) of the original value

35 / 50

35. A gas has molecular diameter and number density . Using and , the mean free path is closest to

36 / 50

36. Use the graph description below.

A graph of versus is drawn for two ideal gases. Gas P has the steeper straight line through the origin, while gas Q has the less steep line. Both graphs use in .

The correct comparison is

a) gas P has larger molar mass than gas Q

b) both gases must have the same molar mass

c) slope is independent of molar mass

d) gas P has smaller molar mass than gas Q

37 / 50

37. A gas molecule of mass is in a gas whose pressure is and number density is . Its rms speed is closest to

38 / 50

38. The root mean square speed of gas molecules is defined as

39 / 50

39. Use the graph description below.
A Maxwell speed-distribution graph is drawn for the same gas at two temperatures and . Curve II has a lower peak, is broader, and its maximum is shifted to a higher speed compared with Curve I. The area under each curve is the same.
The best conclusion is

a) , and every molecule in Curve II moves faster than every molecule in Curve I

b) , and Curve II represents fewer molecules

c) , and the number of molecules represented by both curves is the same

d) , and Curve II has a larger molar mass

40 / 50

40. Study the table and identify the row that correctly uses .

Row	Change	Effect on
P	doubled, unchanged	doubles
Q	unchanged, doubled	quadruples
R	halved, doubled	doubles
S	doubled, halved	doubles

a) Rows P, Q, and S

b) Rows P, Q, and R

c) Rows P, R, and S

d) Rows Q, R, and S

41 / 50

41. A small amount of steam escapes from a pressure cooker. Its ability to push against the surroundings is best connected with

a) the steam having no kinetic energy

b) the colour of water vapour

c) the absence of molecules in steam

d) collisions and momentum transfer

42 / 50

42. A sample contains of ideal gas at . Another description of the same sample uses molecule count . If , then is

43 / 50

43. A graph is drawn for a fixed amount of ideal gas with on the vertical axis and on the horizontal axis. The straight-line slope represents

44 / 50

44. A sample contains of oxygen gas with molar mass . Its total mass is

45 / 50

45. Two gas bulbs have equal volume and are maintained at the same temperature and pressure. Bulb P contains methane and bulb Q contains argon. The best comparison is

a) methane must contain more molecules because it is a compound

b) equal molecule counts but possibly different masses

c) argon must contain more molecules because it is monatomic

d) both bulbs contain equal masses but different numbers of molecules

46 / 50

46. Assertion: Brownian motion is visible evidence for molecular motion in a fluid.
Reason: A suspended particle receives random, unequal impacts from surrounding molecules.

a) Both Assertion and Reason are true, but Reason does not explain Assertion

b) Assertion is false, but Reason is true

c) Assertion is true, but Reason is false

d) Both Assertion and Reason are true, and Reason explains Assertion

47 / 50

47. A gas has and mean free path . If the temperature is made four times as large while the number density and molecular diameter remain unchanged, the new collision frequency is

48 / 50

48. A vessel contains of a gas. Taking , the number of molecules in the vessel is

49 / 50

49. A claim says, “Since two gases are at the same temperature, their molecules must move with the same rms speed.” The best correction is that

a) same temperature always gives zero

b) same temperature removes molecular motion from both gases

c) equal needs equal molar mass

d) same temperature means heavier molecules move faster

50 / 50

50. In a dilute gas, increasing the number density while keeping molecular diameter unchanged makes the mean free path

a) exactly unchanged

b) shorter

c) longer

d) equal to the container volume

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Kinetic Theory Mock Test – Class 11 Physics

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Progressive Test — Guest First Round

Kinetic Theory – Progressive Test

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