12.Kinetic Theory of Gases
normal

The mean free path of a molecule of He gas is $\alpha$. Its mean free path along any arbitrary coordinate axis will be ...........

A

$\alpha$

B

$\frac{\alpha}{3}$

C

$\frac{\alpha}{\sqrt{3}}$

D

$3 \alpha$

Solution

(c)

Mean free path of a molecule is the resultant of path along three separate axis and they will be equal.

So, $\quad \alpha=\sqrt{\alpha_x^2+\alpha_y^2+\alpha_2^2}$

where $\alpha_x=\alpha_y^2 \alpha_2=$ (say) a

$\alpha=\sqrt{a^2+a^2+a^2}$

$\text { or } \quad a=\frac{\alpha}{\sqrt{3}}$

Standard 11
Physics

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