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The relation between root mean square sp...

The relation between root mean square speed (`v_(rms)`) and most probable speed (`v_p`) for the molar mass M of oxygen gas molecule at the temperature of 300 K will be :

A

`v_(rms)=sqrt(2/3)v_p`

B

`v_(rms)=sqrt(3/2)v_p`

C

`v_(rms)=v_p`

D

`v_(rms)=sqrt(1/3)v_p`

Text Solution

Verified by Experts

The correct Answer is:
B
`v_(rms)=sqrt((3RT)/M)`
`V_(mp)=sqrt((2RT)/M),(V_(rms))/(V_(mp))=sqrt(3/2)`
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