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} $