RRB Technician 2014 Ques 29

Question: At a given temperature, the ratio of root mean square velocities of hydrogen molecule and helium atom will be

Options:

A) $ 1:\sqrt{2} $

B) $ \sqrt{2}:1 $

C) $ 1:2 $

D) $ 2:1 $

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ V _{rms}=\sqrt{\frac{3RT}{M}} $ $ \frac{V _{rms},of,H _2}{V _{rms},of,He}=\sqrt{\frac{M,of,He}{M,of,H _2}} $ $ =\sqrt{\frac{4}{2}}=\frac{\sqrt{2}}{1} $