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The ratio between the three speeds, u(m...

The ratio between the three speeds, `u_(mp) : u_(av) : u_(rms)` is given as

A

`1 : 1.224 : 1.128`

B

`1 : 1.128 : 1.224`

C

`1.224 : 1.128 : 1`

D

`1.128 : 1.224 : 1`

Text Solution

Verified by Experts

The correct Answer is:
B
`u_(mp) : u_(av) : u_(rms) = sqrt((2 RT)/(M)) : sqrt((8 RT)/(pi M)): sqrt((3 RT)/(M))`
`= sqrt(2) : sqrt((56)/(22)) : sqrt(3)`
`= 1.414 : 1.595 : 1.732`
Dividing by `1.414` gives
`u_(mp): u_(av) : u_(rms) = 1 : 1.128 : 1.224`
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