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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//4`

B

`4x`

C

`2x`

D

`x`

Text Solution

Verified by Experts

The correct Answer is:
D
The root mean square speed of gas molecule is independent of `p , V` , and number of gas molecules. Its value for a given gas depends only upon temperature as shown by the expression
`u_(rms) = sqrt((3RT)/(M))`
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