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Which of the following relationships is ...

Which of the following relationships is valid for the root mean square speed `(u_("rms"))` , average speed `(u_(av))`, and the most probable speed `(u_("mp"))`?

A

`u_(mp) gt u_(av) gt u_(rms)`

B

`u_(av) gt u_(mp) gt u_(rms)`

C

`u_(rms) gt u _(av) gt u _(mp)`

D

`u_(rms) gt u_(mp) gt u_(av)`

Text Solution

Verified by Experts

The correct Answer is:
C
`u_(rms) = sqrt((3 RT)/(M)), u_(mp) = sqrt((2 RT)/(M))` , and `u_(av) = sqrt((8 RT)/(pi M))`
`:. U_(rms) : u_(av) : u_(mp) = sqrt(3) : sqrt(2.5) : sqrt(2)`
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