Question:
The mean free path of a molecule is inversely proportional to
The mean free path of a molecule is inversely proportional to
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Larger molecules have smaller mean free paths because they collide more frequently.
Updated On: Apr 24, 2026
- its diameter
- square of its diameter
- square of the number of molecules
- square root of the number of molecules
- square root of its diameter
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept:
Mean free path \(\lambda = \frac{1}{\sqrt{2} \pi d^2 n}\), where \(d\) = molecular diameter, \(n\) = number density.
Step 2: Detailed Explanation:
\(\lambda \propto \frac{1}{d^2}\). So mean free path is inversely proportional to the square of the diameter.
Step 3: Final Answer:
Inversely proportional to square of diameter.
Mean free path \(\lambda = \frac{1}{\sqrt{2} \pi d^2 n}\), where \(d\) = molecular diameter, \(n\) = number density.
Step 2: Detailed Explanation:
\(\lambda \propto \frac{1}{d^2}\). So mean free path is inversely proportional to the square of the diameter.
Step 3: Final Answer:
Inversely proportional to square of diameter.
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