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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 l for a gas molecule depends upon diameter, d of...

The mean free path ll for a gas molecule depends upon diameter, dd of the molecule as:The mean free path l for a gas molecule depends upon diameter, d of the molecule as:

Options

  1. Al∝1d2l ∝ \dfrac{1}{{d}^{2}}
  2. Bl∝dl ∝ d
  3. Cl∝d2l ∝ {d}^{2}
  4. Dl∝1dl ∝ \dfrac{1}{d}

Correct answer

A. l∝1d2l ∝ \dfrac{1}{{d}^{2}}

Step-by-step solution

The mean free path is an average distance over which a moving particle substantially changes its direction or energy, typically as a result of one or more successive collisions with other particles.The mean free path l for a gas molecule depends upon diameter, d of the molecule as:

The mean free path for a gas molecule depends upon the diameter, dd of the molecule as: λ=12πd2n∝1d2\lambda = \dfrac{1}{\sqrt{2}\pi{d}^{2}n} ∝ \dfrac{1}{{d}^{2}},

λ=\lambda = the mean free path
d=d = the effective diameter of the molecule
n=n =the number density of molecules

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