Kinetic Theory - Result Question 28

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28. The mean free path of molecules of a gas, (radius ’ $r$ ‘) is inversely proportional to :

======= ####28. The mean free path of molecules of a gas, (radius ’ $r$ ‘) is inversely proportional to :

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/kinetic-theory/kinetic-theory—result-question-28.md (a) $r^{3}$

(b) $r^{2}$

(c) $r$

(d) $\sqrt{r}$

[2014]

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Answer:

Correct Answer: 28. (b)

Solution:

  1. (b) Mean free path $\lambda_m=\frac{1}{\sqrt{2} \pi d^{2} n}$ where $d=$ diameter of molecule and $d=2 r$

$\therefore \quad \lambda_m \propto \frac{1}{r^{2}}$