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The ratio of r.m.s speed to the r.m.s an...

The ratio of r.m.s speed to the r.m.s angular speed of a diatomic gas at certain temperature is (assume m =mass of one molecule, M=molecular mass, I=moment of inertia of the molecules )

A

`sqrt(3/2)`

B

`sqrt((3I)/(2M))`

C

`sqrt((3I)/(2m))`

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
`1/2 mV^(2)=3/2 kT`, `1/2 I omega^(2)=2/2 kT` ,`V/(omega)=sqrt((3I)/(2m))`
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Knowledge Check

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  • At what temperature is the r.m.s velocity of a hydrogen molecule equal to that of an oxygen molecule at 24^@C ?

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