Q. Ratio of average to most probable velocity is
A) 1.128
B) 1.224
C) 1.0
D) 1.112
Explanation
(a)
Average speed of gas molecules
$\ \ = \sqrt{\frac{8RT}{\pi M}}$
Most probable speed of gas molecules
$= \sqrt{\frac{2RT}{M}}$
$\therefore v_{av}\ :v_{mp} = \ \sqrt{\frac{8RT}{\pi M}}\ :\ \sqrt{\frac{2RT}{M}}$
$= \sqrt{\frac{8}{\pi}}\ :\ \sqrt{2}$
$= 1.128\ :1$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.