First slide

Rms speed

Question

Four molecules of a gas have speeds 1,2,3 and4 $km s^{- l}$ respectively. The value of rms speed of the molecules is (in km $s^{- 1}$ )

Easy

A

$\sqrt{\frac{15}{2}}$
B

$2 \sqrt{15}$
C

$\frac{\sqrt{15}}{2}$
D

none of the above

Solution

$C = \sqrt{\frac{1^{2} + 2^{2} + 3^{2} + 4^{2}}{4}}$
= $\sqrt{\frac{1 + 4 + 9 + 16}{4}} = \sqrt{\frac{15}{2}} {kms}^{- 1}$

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