Q66 / 90 · JEE Main 2024 (05 Apr Shift 2) · Physics

If $\mathrm{n}$ is the number density and $\mathrm{d}$ is the diameter of the molecule, then the average distance covered by a molecule between two successive collisions (i.e. mean free path) is represented by :

  • A
    $\sqrt{2} \mathrm{n} \pi \mathrm{d}^2$
  • B
    $\frac{1}{\sqrt{2 n \pi d^2}}$
  • Correct answer
    C
    $\frac{1}{\sqrt{2} n \pi d^2}$
  • D
    $\frac{1}{\sqrt{2} n^2 \pi^2 d^2}$

Solution

$\mathrm{n}=$ number of molecule per unit volume $\mathrm{d}=$ diameter of the molecule $\lambda=\frac{1}{\sqrt{2} \pi \mathrm{d}^2 \mathrm{n}}$ (By Theory)

Hence, the correct answer is option: 'C'.

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