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The plot that depicts the behaviour of the mean free time $τ$ (time between two successive collisions) for the molecules of an ideal gas, as a function of temperature $(T)$ , qualitatively is (graphs are schematic and not drawn to scale)

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Important Questions on Thermometry, Thermal Expansion and Kinetic Theory of Gases

HARD

JEE Main

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 14 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Excercise 2>Q 3

Consider two ideal diatomic gases

A

and

B

at some temperature

T

. Molecules of the gas

A

are rigid and have a mass

m

. Molecules of the gas

B

have an additional vibrational mode and have a mass

\frac{m}{4}

. The ratio of the specific heats (

C_{V}^{A}

and

C_{V}^{B}

) of gas

A

and

B

respectively is

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JEE Main

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 14 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Excercise 2>Q 4

A gas mixture consists of

3

moles of oxygen and

5

moles of argon at temperature

T

. Considering only translational and rotational modes, the total internal energy of the system is

HARD

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IMPORTANT

Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 14 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Excercise 2>Q 5

A vertical closed cylinder is separated into two parts by a frictionless piston of mass

m

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

l_{1}

and that below the piston is

l_{2},

such that

l_{1} > l_{2}

Each part of the cylinder contains

n

moles of an ideal gas at equal temperature

T

. If the piston is stationary, its mass

m

, will be given by (where,

R

is universal gas constant and

g

is the acceleration due to gravity)

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 14 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Excercise 2>Q 6

Pressure versus temperature graph of an ideal gas is shown in the given figure. Density of gas at point

A

ρ_{0}

, then density of gas at point

B

will be

EASY

JEE Main

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 14 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Excercise 2>Q 7

The figure shows the graph of $\frac{p V}{T}$ versus $p$ for $2 \times 10^{- 4} kg$ of hydrogen gas at two different temperatures, where $p$ , $V$ and $T$ represents pressure, volume and temperature respectively. Then, the value of $\frac{p V}{T},$ where the curve meet on the vertical axis, is

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 14 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Excercise 2>Q 8

The wavelength of the radiation emitted by a black body is

1 mm

and Wien's constant is

3 \times 10^{- 3} mK

. Then the temperature of the black body will be,

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JEE Main

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 14 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Excercise 2>Q 9

An ideal gas in a closed container is heated so that the final

RMS

speed of the gas particles, increases by two times the initial speed. If the initial gas temperature is

27 ° C,

then What will be the final temperature of the ideal gas?

MEDIUM

JEE Main

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 14 - Thermometry, Thermal Expansion and Kinetic Theory of Gases>Excercise 2>Q 10

An ideal gas is taken through the cycle $A \to B \to C \to A$ as shown in the figure. If the net heat supplied to the gas in the cycle is $5 J$ . The magnitude of work done during the process $C \to A$ is

Question Image

The plot that depicts the behaviour of the mean free time τ (time between two successive collisions) for the molecules of an ideal gas, as a function of temperature (T), qualitatively is (graphs are schematic and not drawn to scale)

Important Questions on Thermometry, Thermal Expansion and Kinetic Theory of Gases

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The plot that depicts the behaviour of the mean free time $τ$ (time between two successive collisions) for the molecules of an ideal gas, as a function of temperature $(T)$ , qualitatively is (graphs are schematic and not drawn to scale)