Kinetic Theory Of Gases Question 126

Question: The root mean square velocity of a gas molecule of mass m at a given temperature is proportional to

Options:

A) $ m^{0} $

B) m

C) $ \sqrt{m} $

D) $ \frac{1}{\sqrt{m}} $

Show Answer

Answer:

Correct Answer: D

Solution:

[d] $ v _{rms}=\sqrt{\frac{3kT}{m}}=v _{rms}\propto \frac{1}{\sqrt{m}} $