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(A) The mean free path $\lambda$ of a gas molecule is given by the formula: $\lambda = \frac{1}{\sqrt{2} \pi d^2 n}$,where $d$ is the diameter of the

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Decreases

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(A) The mean free path $\lambda$ of a gas molecule is given by the formula: $\lambda = \frac{1}{\sqrt{2} \pi d^2 n}$,where $d$ is the diameter of the molecule and $n$ is the number density (number of molecules per unit volume).From the formula,it is clear that the mean free path $\lambda$ is inversely proportional to the number density $n$ $(\lambda \propto \frac{1}{n})$.Therefore,if the number density $n$ increases,the mean free path $\lambda$ decreases because the frequency of collisions between molecules increases.

On increasing the number density of a gas in a vessel,the mean free path of the gas:

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