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The root mean squae (rms) velocity of an...

The root mean squae (rms) velocity of an ideal gas at temperature T is v. If the temperature is increased to 4T, the rms velocity of the gas is

A

`sqrt3v`

B

`sqrt2v`

C

2v

D

3v

Text Solution

Verified by Experts

The correct Answer is:
C
Root mean square velocity of a gas at temperature T is
`v_(rms) = sqrt((3RT)/(M))`
So, `v_(rms) prop sqrtT`
When temperature is 4T,
`v._(rms) prop sqrt4T or v_((rms)) = 2v_(rms)`
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