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Heat and Thermodynamics question

2014 · Q156
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Heat and Thermodynamics question

2014 · Q156

NEETPhysicsHeat and ThermodynamicsMCQ+4 / −1
The mean free path of molecules of a gas, (radius r) is inversely proportional to
  1. A
    r3
  2. B
    r2
  3. C
    r
  4. D
    r\sqrt rr​
View written solutionFree

Correct answer: B

Mean free path λm=12πd2n{\lambda _m} = {1 \over {\sqrt 2 \pi {d^2}n}}λm​=2​πd2n1​

where d = diameter of molecule and d = 2r

∴λm∝1r2 \therefore {\lambda _m} \propto {1 \over {{r^2}}}∴λm​∝r21​

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