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

3 2014 AIPMT Kinetic TheoryMean Free Path Easy
The mean free path of molecules of a gas, (radius 'r') is inversely proportional to:
A $r^3$
B $r^2$
C r
D $\sqrt r$

Detailed Solution

Mean free path $\lambda_m = \frac{1}{\sqrt2\,\pi d^2n}$, where d = diameter of the molecule
So $\lambda_m \propto \frac{1}{r^2}$

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Practise Mean Free Path All 3 questions This chapter in 2014 AIPMT