Question

At $27^{\circ}C,$ the ratio of RMS velocity and most probable velocity of $SO_2$ is}

• A. $\sqrt{3}:\sqrt{2}$
• B. $\sqrt{2}:\sqrt{3}$
• C. $\sqrt{3}:\sqrt{5}$
• D. $\sqrt{5}:\sqrt{3}$ \bigskip

Hint:

For any gas, \[ v_{rms}:v_{avg}:v_{mp} = \sqrt{3}:\sqrt{\frac{8}{\pi}}:\sqrt{2} \] The ratio \(v_{rms}/v_{mp}\) is always \(\sqrt{3/2}\).

Answer 1

The Correct Option is A