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
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
(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=√2gh
Here, we consider the size of orifice is small with respect to open top tank, which means velocity is independent of the area, but if the velocity is not constant then it does depends on area. Now 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.
(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=√2gh
Here, we consider the size of orifice is small with respect to open top tank, which means velocity is independent of the area, but if the velocity is not constant then it does depends on area. Now 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.
