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)`
A
6.112 cm/s
B
4.605 cm/s
C
4.085 cm/s
D
5.430 cm/s
Text Solution
Verified by Experts
The correct Answer is:
D
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
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