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If the rms speed of gas molecules is x c...

If the `rms` speed of gas molecules is `x cm s^(-1)` at a pressure of `p` atmospheres, then the `rms` speed at a pressure of `2p` atmospheres and constant temperature will be

A

x

B

2x

C

4x

D

x/4

Text Solution

Verified by Experts

The correct Answer is:
A
`u=sqrt((3RT)/(M))=sqrt((3PV)/(M))`.
As temperature is constant, Pv is constant. Hence, r.m.s. is constant even if pressure is doulbed.
Alternatively, `u=sqrt((3P)/(d))`. At constant temp. , if P is doulbed, d is doubled so that u remians same.
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