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  4. Four molecules have speeds 2 km/sec, 3 km/sec, 4 km/sec and 5 km/sec. The root mean square speed of these molecules (km/sec) is

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Q. Four molecules have speeds 2 km/sec, 3 km/sec, 4 km/sec and 5 km/sec. The root mean square speed of these molecules (km/sec) is

Kinetic Theory

Solution:

$\nu_{rms} = \left[\frac{\left(2\right)^{2} + \left(3\right)^{2} + \left(4\right)^{2} + \left(5\right)^{2}}{4}\right]^{1/2} $
$= \sqrt{\left[\frac{54}{4}\right]}$