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NEET 2020
Exam
NEET
Year
2020
Subject
Physics
Chapter
Kinetic Theory of Gases

NEET 2020 · Physics · Kinetic Theory of Gases

The mean free path for a gas, with molecular diameter d and number...

The mean free path for a gas, with molecular diameter dd and number density nn can be expressed as:

Options

  1. A12nπd2\dfrac{1}{\sqrt{2}n\pi{d}^{2}}
  2. B12n2πd2\dfrac{1}{\sqrt{2}{n}^{2}\pi{d}^{2}}
  3. C12n2π2d2\dfrac{1}{\sqrt{2}{n}^{2}{\pi}^{2}{d}^{2}}
  4. D12n\pid\dfrac{1}{\sqrt{2}n\pid}

Correct answer

A. 12nπd2\dfrac{1}{\sqrt{2}n\pi{d}^{2}}

Step-by-step solution

Mean free path for a gas sample

λm=12πd2n{\lambda}_{m} = \dfrac{1}{\sqrt{2}\pi{d}^{2}n}

where dd is diameter of a gas molecule and nn is molecular density

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