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 form the hole

d) acceleration due to gravity

The speed at which liquid exits a hole, or velocity of efflux, is equal to $\sqrt{2\mathrm{gh}}$, where h is the depth of the hole below the liquid surface, according to Torricelli's Theorem. Thus, the amount of water ejected is independent of the size of the hole or the liquid's density.

Hence the correct answer is a and b are correct.