The velocities of the three molecules are 3v, 4v and 5v. The... | PHYSICS - MOLECULAR NATURE OF MATTER | SolveeIt | Solveeit

Today, August 19

Question

The velocities of the three molecules are 3v, 4v and 5v. The rms velocity is –

A

4v

B

$\frac{25}{3}v$

C

$\frac{50}{3}v$

D

$\sqrt{\frac{50}{3}}v$

Answer

$\sqrt{\frac{50}{3}}v$

Explanation

Solution

v_rms = $\frac{\sqrt{9V^{2} + 16V^{2} + 25V^{2}}}{3} = \sqrt{\frac{50}{3}}v$