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Kinetic Theory

JEE Main level, single correct, medium

97 of 168

Question 97 of 168

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 ${\left({C}_{V}^{}\right)}_{A}\text{and}{\left({C}_{V}^{}\right)}_{B}$ of gas $A$ and $B,$ respectively is:

Show answer and solution

Answer: (D) $5:7$

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}

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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JEE Main Physics practice question on Kinetic Theory (Degree of Freedom and Specific Heat), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.