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The r.m.s. velocity of molecules of a ga...

The r.m.s. velocity of molecules of a gas of density 4kg `//m^(3)` and pressure `1.2 xx 10^(5) N//m^(2)` is

A

`900ms^(-1)`

B

`120ms^(-1)`

C

`600ms^(-1)`

D

`300 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
The r.m.s velocity of a gas `=sqrt((3P)/d)`
given `P=1.2xx10^(5)Nm^(-2)`
`d=4kgm^(-3)`
`:.v_(rms)=sqrt((3xx1.2xx10^(5))/4)=sqrt(0.9xx10^(5))`
`=sqrt(9xx10^(4))=3xx10^(2)`
`=300ms^(-1)`
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