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Question

Ratio of rotational kinetic energy to the total energy for diatomic gas molecule at room temperature is

A
2:5
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B
5:2
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C
3:2
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D
2:3
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Solution

The correct option is A 2:5
According to law of equipartition of energy,
Energy associated with each molecule for each degree of freedom E=12KT

For diatomic gas,
Rotational degree of freedom (fr)=2
Rotation K.E. of each molecule =2×12KT
For diatomic gas,
Total degree of freedom f=5
Total energy of each molecule =5×12KT

Rotational energyTotal energy=KT52×KT
Rotational energyTotal energy=25

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