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The ratio of most probable velocity to t...

The ratio of most probable velocity to that of average velocity is

A

`pi//2`

B

`sqrt(pi)//2`

C

`2//sqrt(pi)`

D

`2//pi`

Text Solution

Verified by Experts

The correct Answer is:
B
According to the kinetic molecular theory of gases , we have
`u_(mp) : u_(aV) = sqrt((2 RT)/(M)) : sqrt((8 RT)/(pi M))`
` = (sqrt(2))/(sqrt(8//pi))`
` = (sqrt(2pi))/(sqrt(8)) = (sqrt(2 pi))/(sqrt(4.2))`
`= (sqrt(2 pi))/(2 sqrt(2)) = (sqrt(pi))/(2)`
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