Q. The root mean square speed of the molecules of a gas is
A) Independent of its pressure but directly proportional to its Kelvin temperature
B) Directly proportional to the square roots of both its pressure and its Kelvin temperature
C) Independent of its pressure but directly proportional to the square root of its Kelvin temperature
D) Directly proportional to both its pressure and its kelvin temperature
Explanation
(c) $v_{r.m.s.}$ is independent of pressure but depends upon temperature as $v_{rms} \propto \sqrt{T}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.