If average velocity of a sample of gas molecules at 300 K is `5 cm s^(-1)` , what is RMS velocity of same sample of gas molecules at the same temperature ? (Given , `alpha : u : v = 1 : 1 .224 : 1.127)`

Options

A. 6.112 cm/s
B. 4.605 cm/s
C. 4.085 cm/s
D. 5.430 cm/s

Answer

D

Explanation

Given that `alpha` (most probable velocity) u(RMS velocity) v ( average velocity) = `1 : 1.224 : 1 : 1.127`
`therefore (u)/(v) = (1.124)/(1.127)`
or `(u)/(5) = (1.224)/(1.127)`
or `u = (1.124 xx 5)/(1.127) = 5.430` cm/s