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 $(C^*)$ = $\sqrt{\frac{2RT}{M}}$
Average speed $\left(\bar{C}\right) = \sqrt{\frac{8RT}{\pi M}}$
Root mean square velocity $\left(C\right) = \sqrt{\frac{3RT}{M}}
C^{ *} : \bar{C} : C = \sqrt{2} : \sqrt{\frac{8}{\pi}} : \sqrt{3}$