Let `u_(av), u_(rms )`and `u_(mp)` respectively denote the average speed, root mean square average speed and most. probable speed in an ideal monoatomic gas at kelvin temperature T. Arrange them in their increasing order

Answer

C, D

Explanation

The expression of `u_(av) , u_(mp)` and `u_(av) = sqrt((8 RT)/(pi m)) , u_(rms) = sqrt((3RT)/(m)) , u_(mp) = sqrt((2RT)/(m))`
From these , it follows that `u_(mp) lt u_(av) lt u_(rms)`
The average kinetic energy of gaseous atom is `barE = (1)/(2) "mu"_(rms)^(2) = (1)/(2) m ((3)/(2) u_(mp)^(2)) = (3)/(4) "mu"_(mp)`