Question

There is a small hole near the bottom of an open tank filled with a liquid. The speed of the water ejected does not depend on
(a) area of the hole
(b) density of the liquid
(c) height of the liquid from the hole
(d) acceleration due to gravity

Answer 1

(a) area of the hole
(b) density of the liquid

The emergent speed v of the liquid flowing from the hole in the bottom of the tank is given by `v=sqrt(2"gh")`

Here, g is acceleration due to gravity and h is height of the liquid from the hole.
Thus, it is clear from the above relation that the speed of the liquid depends on the height of the liquid from the hole and on the acceleration due to gravity. It does not depend on the area of the hole and the density of the liquid.