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JEE Main20208 Jan 2020Morning ShiftPhysicsKinetic Theory of GasesActual

The plot that depicts the behavior of the mean free time τ (time between two successive collisions) for the molecules of an ideal gas, as a function of temperature T , qualitatively, is: (Graphs are schematic and not drawn to scale)

Correct answer

2

Step-by-step solution

The average time taken by a moving particle between successive collisions or impacts is referred to as the mean free time τ . The average distance a moving particle travels between successive collisions or impacts is referred to as the mean free path λ . λ = k T 2 π d 2 P and v rms = 3 R T M So, the mean free time τ = λ v rms Therefore, τ ∝ 1 T

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