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Let vecV, V("m s") and Vp respectively...

Let `vecV, V_("m s")` and `V_p` respectively, denote the mean speed, root mean square speed and most probable speed of the molecules in an ideal monatomic gas at absolute temperature T. The mass of a molecule is m. then :

A

no molecule can have speed greaer than `v_(rms)`

B

no molecule can have sped less than `(v_(P))/(sqrt(2))`

C

`v_(P)ltbarv lt v_(rms)`

D

the average kinetic energy of molecle is `3/4 mv_(p)^(2)`

Text Solution

Verified by Experts

`v_(rms)=sqrt((3RT)/M)` and
`barv=sqrt((8RT)/(piM))=sqrt(2.55 (RT)/M)`
`v_(P)=sqrt((2RT)/M)`
Hence c and d are correct.
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