Q.

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 . The ratio of the specific heats  of gas A and B, respectively is :

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a

7 : 9

b

5 : 7

c

3: 5

d

5 : 9

answer is B.

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Detailed Solution

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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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 . The ratio of the specific heats  of gas A and B, respectively is :