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  4. The mean free path of molecules of a gas, (radius 'r') is inversely proportional to :

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Q. The mean free path of molecules of a gas, (radius 'r') is inversely proportional to :

AIPMTAIPMT 2014Kinetic Theory

Solution:

Mean free path $\lambda_m = \frac{1}{\sqrt{2} \pi d^2 n}$
where d = diameter of molecule
$\Rightarrow \, \lambda_m \; \propto \frac{1}{r^2}$