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At what temperature will the r.m.s. velo...

At what temperature will the r.m.s. velocity of a gas be half its value at `0^(@)C`?

A

`-68.25^(@)C`

B

`-204.75^(@)C`

C

`-34.25^(@)C`

D

`-238.75^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
B
`(C)/(C_(O))=sqrt((T)/(T_(O)))`
`(1)/(4)=(T)/(T_(O))`
`T=(T_(O))/(4)=68.25K`
`t=68.25=-204^(@)C`
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