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A sample of hydrogen at temperature T, v...

A sample of hydrogen at temperature T, volume V and pressure P have speed v and in a sample of oxygen at temperature T, volume 2 V and pressure 3 P. the root mean square velocity of the oxygen molecule is

A

`(v)/(4)`

B

`sqrt(6)v`

C

`sqrt(3)v`

D

`sqrt(2)v`

Text Solution

Verified by Experts

The correct Answer is:
A
`(C_(2))/(C_(1))=sqrt((M_(1))/(M_(2)))=sqrt((2)/(32))=sqrt((1)/(16))=(1)/(4)`
`C_(2)=(C_(1))/(4)`.
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