NCERT · Class 11 · Physics · Kinetic TheoryThe mean free path ($\lambda$) of a gas molecule depends on the diameter ($d$) of the molecule as:
Step-by-Step Solution
The mean free path is given by $\lambda = \frac{1}{\sqrt{2} n \pi d^2}$, which shows that $\lambda \propto \frac{1}{d^2}$.
Detailed Options Breakdown
Option : $\lambda \propto d$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Kinetic Theory.
Option 1: $\lambda \propto \frac{1}{d}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Kinetic Theory.
Option 2: $\lambda \propto \frac{1}{d^2}$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: $\lambda \propto d^2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Kinetic Theory.
💡 Study Guide: This question tests core syllabus concepts from Kinetic Theory. For formulas, key summaries, and mock exam reference guides, read the full Kinetic Theory Revision Notes.