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A gas is filled in a container at pressu...

A gas is filled in a container at pressure `P_(0)`. If the mass of molecules is halved and their rms speed is doubled, then the resultant pressure would be

A

`2P_0`

B

`4P_0`

C

`(P_0)/4`

D

`(P_0)/2`

Text Solution

Verified by Experts

The correct Answer is:
A
Using, P = `1/3( pv^2)_rms = 1/3 (mN)/V (V^2)_(rms)`
`... P alpha (mv^2)_(rms)`
As m is halved and `V_(rms)` is doubled then P become twice or `2P_0`
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