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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 \large \frac{m}{4}. The ratio of the specific heats \large \left( {C_V^A\,and\,C_V^B} \right)\ of gas A and B, respectively is :

a
7 : 9
b
5 : 7
c
3: 5
d
5 : 9

detailed solution

Correct option is B

Degree of freedom of a diatomic moleculeif vibration is absent = 5Degree of freedom of a diatomic moleculeif vibration is present = 7

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