Short answer·Standard multi-step (3/5)·Calculator allowed

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

For a gas, take molecular diameter d=3.0×1010 md=3.0\times10^{-10}\text{ m} and number density n=2.5×1025 m3n=2.5\times10^{25}\text{ m}^{-3}. Use λ=12πd2n\lambda=\frac{1}{\sqrt2\pi d^2n} and take 2π4.44\sqrt2\pi\approx4.44.
Total: 2 marks

(a) Find the approximate mean free path. (1 mark)

(b) State how the answer changes if the molecular diameter is doubled while number density is unchanged. (1 mark)

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cbse-physics-11.u9.t9-5.saq.003

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