Kinetic Theory - Result Question 28
28. The mean free path of molecules of a gas, (radius ’ $r$ ‘) is inversely proportional to :
(a) $r^{3}$
(b) $r^{2}$
(c) $r$
(d) $\sqrt{r}$
[2014]
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Answer:
Correct Answer: 28. (b)
Solution:
- (b) Mean free path $\lambda_m=\frac{1}{\sqrt{2} \pi d^{2} n}$ where $d=$ diameter of molecule and $d=2 r$
$\therefore \quad \lambda_m \propto \frac{1}{r^{2}}$