Question

A certain gas effuses out of two different vessels A and B. A has a circular orifice while B has a square orifice of length equal to the radius of the orifice of vessel A. The ratio of rate of diffusion of the gas from vessel A to that from vessel B is:

• A. $\pi :1$
• B. $1:\pi$
• C. 1:1
• D. 3:2

Answer 1

The correct option is A $\pi :1$

More the area more the effusion.
$\therefore \frac{r_1}{r_2}=\frac{A_1}{A_2}$
$⟹\frac{r_1}{r_2}=\frac{\pi r^2}{r^2}=\pi$