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Root mean square velocity of gas molecul...

Root mean square velocity of gas molecules is `300 m//sec`. The `r.m.s` velocity of molecules of gas with twice the molecular weight and half the absolute temperature is :

A

300 m/sec

B

600 m/sec

C

75 m/sec

D

150 m/sec

Text Solution

Verified by Experts

The correct Answer is:
D
`u = sqrt((3RT)/(M)) " or " (u_(1))/(u_(2)) = sqrt((T_(1))/(M_(1)). (M_(2))/(T_(2)))`
`:. (300)/(u_(2)) = sqrt((T)/(M) xx (2M)/(T//2)) " or " u_(2) = 150 ms^(-1)`
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