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The mean free path of gas molecules depends on the diameter $d$ of the molecules as

  1. A.$\propto d$
  2. B.$\propto d^2$
  3. C.$\propto 1/d$
  4. D.$\propto 1/d^2$
Show correct answer & step-by-step solution

Correct answer: D$\propto 1/d^2$

Solution

The mean free path is given by the formula , where is the number density and is the molecular diameter. Thus, is inversely proportional to the square of the diameter.

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