Question

The ratio between the most probable velocity, mean velocity and root mean square velocity is:

• A. $\sqrt{2}:\sqrt{\frac{8}{\pi }}:\sqrt{3}$
• B. $1:2:3$
• C. $1:\sqrt{2}:\sqrt{3}$
• D. $1:\sqrt{\frac{8}{\pi }}:\sqrt{3}$

Answer 1

The correct option is A $\sqrt{2}:\sqrt{\frac{8}{\pi }}:\sqrt{3}$

The ratio between the most probable velocity,mean velocity and root mean square velocity is $\sqrt{2}:\sqrt{\frac{8}{\pi }}:\sqrt{3}$

$V_{rms}=\sqrt{\frac{3RT}{M}}$

$V_{mv}=\sqrt{\frac{8RT}{\pi M}}$

$V_{mp}=\sqrt{\frac{2RT}{M}}$

Option A is correct.