Question

The relationship among most probable velocity, average velocity and root mean square velocity is respectively

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

Answer 1

Answer: (B)

Most probable speed $(C^{\ast })$ = $\sqrt{\frac{2RT}{M}}$
Average speed $\left(\bar{C}\right)=\sqrt{\frac{8RT}{\pi M}}$
Root mean square velocity $\left(C\right)=\sqrt{\frac{3RT}{M}}<br/>C^{\ast }:\bar{C}:C=\sqrt{2}:\sqrt{\frac{8}{\pi }}:\sqrt{3}$