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99 Percentile Qs Bank for JEE MainPhysicsKinetic Theory of Gases

For a molecule of an ideal gas, the number density is 2 2 10^8 ~cm ⁻³ and the mean free path is 10⁻² cm . The diameter of the gas molecule is

Options

  1. A5 10⁻⁴ ~cm
  2. B0.5 10⁻⁴ ~cm
  3. C2.5 10⁻⁴ ~cm
  4. D4 10⁻⁴ ~cm

Correct answer

A. 5 10⁻⁴ ~cm

Step-by-step solution

Mean free path, aligned & = 1 2 n d^2 d^2 & = 1 2 n = 1 2 2 2 10^8 10⁻² d^2 & = 1 4 10^6 d & = 1 2 10⁻³ ~cm d & =5 10⁻⁴ ~cm aligned

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