Question

Water and mercury are filled in two cylindrical up to same height. Both vessels have a hole in the wall near the bottom. The velocity of water and mercury coming out of the holes are $v_1$ and $v_2$ respectively.

• A. $v_1=v_2$
• B. $v_1=13.6v_2$
• C. $v_1=v_2/13.6$
• D. $v_1=\sqrt{13.6}{v}_2$

Answer 1

The correct option is A $v_1=v_2$

We know that the velocity of efflux is given by,

$v=\sqrt{2gh}$

Hence velocity of efflux does not depends upon the nature of the fluid and its density.

now, if the height of water and the mercury orifice is same, and g will alredy be same for both.

Then, v₁ = v₂

Hence, Option (a). is correct.