AIIMS2019Physics-Kinetic Theory of Gases

AIIMS 2019 Physics Mean Free Path MCQ Question

Type: MCQ-conceptual-Medium-Class 11

Assertion: Mean free path of a gas molecules varies inversely as density of the gas.

Reason: Mean free path varies inversely as pressure of gas.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Correct Answer

Option A

Detailed Explanation

In the formula for mean free path (λ = μ/p √(πkT/2m)), the mean free path (λ) is inversely proportional to the density (p) of the gas, indicating that as the density increases, the mean free path decreases. This relationship arises because a higher density means more gas molecules are present in a given volume, leading to more frequent collisions and a shorter distance traveled between collisions. The other options are not applicable in this context, as they do not provide relevant information or alternative answers to the question posed. Understanding this inverse relationship is crucial for grasping concepts related to gas behavior and molecular dynamics.

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