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At what absolute temperature 'I', is 'rm...

At what absolute temperature 'I', is 'rms' speed of a hydrogen molecule equal to its escape velocity from the surface of the moon? The radisuof moon is R,g is the acceleration due to gravity on moon's surface, m is the mass of a hydrogen molecule and k is the Boltzmann constant.

A

`(mgR)/(2k)`

B

`(2mgR)/(k)`

C

`(3mgR)/(2k)`

D

`(2mgR)/(3k)`

Text Solution

Verified by Experts

The correct Answer is:
D
`v_(rms)=sqrt((3KT)/(m)),v_(e)=sqrt(2gR)`
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