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 answerC$\frac{1}{\sqrt{2} n \pi d^2}$
- 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'.