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The root mean square speed of the molecu...

The root mean square speed of the molecules of a diatomic gas is v. When the temperature is doubled, the molecules dissociate into two atoms. The new root mean square speed of the atom is

A

`sqrt2 u`

B

`u`

C

`2 u`

D

`4 u`

Text Solution

Verified by Experts

The correct Answer is:
C
`u = sqrt((3RT)/(M))`, If `T = 2T " and " M = M//2`
then `u_(1) = sqrt((3R xx 2T)/(M//2))`
`:. (u_(1))/(u) = sqrt4 = 2`
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