Kinetic Theory Important PYQs for NEET Exam 2025

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Topic Question Set

Q 1 :
The mean free path for a gas, with molecular diameter $d$ and number density $n$ can be expressed as [2020]

$\frac{1}{\sqrt{2} n π d}$
$\frac{1}{\sqrt{2} n π d^{2}}$
$\frac{1}{\sqrt{2} n^{2} π d^{2}}$
$\frac{1}{\sqrt{2} n^{2} π^{2} d^{2}}$

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2

3

4

(2)

Mean free path for a gas, $λ = \frac{1}{\sqrt{2} n π d^{2}}$

Q 2 :
The mean free path of molecules of a gas, (radius $r$ ) is inversely proportional to [2014]

$r^{3}$
$r^{2}$
$r$
$\sqrt{r}$

1

2

3

4

(2)

Mean free path, $λ = \frac{1}{\sqrt{2} n π d^{2}}$

where $n$ is the number density and $d$ is the diameter of the molecule.

As $d = 2 r,$ $∴$ $λ = \frac{1}{4 \sqrt{2} n π r^{2}} or λ \propto \frac{1}{r^{2}}$

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