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JEE Main 20209 JanuaryMorning Shift

Exam: JEE Main
Year: 2020
Date: 9 January
Shift: Morning Shift
Subject: Physics
Chapter: Kinetic Theory of Gases

JEE Main 2020 · 9 January · Morning Shift · Physics · Kinetic Theory of Gases

Consider two ideal diatomic gases A and B at some temperature T ....

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

\dfrac{m}{4}

. The ratio of the specific heats

{\left({C}_{V}^{}\right)}_{A}\text{and}{\left(CV\right)}_{B}

of gas

A

and

B,

respectively is:

Options

A $7: 9$
B $5: 9$
C $3: 5$
D $5: 7$

Correct answer

D. $5: 7$

Step-by-step solution

Molar heat capacity of

A

at constant volume

= \dfrac{5R}{2}

Molar heat capacity of

B

at constant volume

= \dfrac{7R}{2}

Dividing both

\dfrac{{\left({C}_{v}\right)}_{A}}{{\left({C}_{v}\right)}_{B}} = \dfrac{5}{7}

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