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Question

Question: The ratio of most probable velocity to that of average velocity is....

The ratio of most probable velocity to that of average velocity is.

A

π/2\pi / 2

B

2/π2 / \pi

C

π/2\sqrt { \pi } / 2

D

2/π2 / \sqrt { \pi }

Answer

π/2\sqrt { \pi } / 2

Explanation

Solution

VmpVav=2RTM8RTπM=π2\frac { V _ { m p } } { V _ { a v } } = \frac { \sqrt { \frac { 2 R T } { M } } } { \sqrt { \frac { 8 R T } { \pi M } } } = \frac { \sqrt { \pi } } { 2 }