Question

The relation between $rms$ velocity, $v_{ rms }$ and the most probable velocity, $v_{ mp }$ of a gas is

• A. $v_{ rms }=v_{ mp }$
• B. $v_{ rms }=\sqrt{\frac{3}{2}} v_{ mp }$
• C. $v_{ rms }=\sqrt{\frac{2}{3}} v_{ mp }$
• D. $v_{ rms }=\frac{2}{3} v_{ mp }$

Answer 1

Answer: (B)

$v_{ rms }=\sqrt{\frac{3 k T}{m}}, $
$v_{ mp }=\sqrt{\frac{2 k T}{m}}$
$\frac{v_{ rms }}{v_{ mp }}=\sqrt{\frac{3}{2}}$