Question

Two holes are made at two different heights measured from the bottom of an open-mouthed bottle filled with water. Through which hole water will gush out with more fast speed? If the holes are made at equal heights from the bottom will you get the same result?

Accepted Answer

Two holes are made at two heights measured from the bottom of an open-mouthed bottle filled with water. The water will gush out at a faster speed from the hole which is closer to the bottom.

This is because the pressure of a liquid in a container depends upon the height, density of the liquid, and acceleration due to gravity. In this case, the bottle is filled with water, meaning the liquid's density is constant. The apparatus is under the same influence of acceleration due to gravity so, the pressure will be directly proportional to the height of the hole in the container.

This is given by the expression $P = h ρ g$ where $' P'$ is the pressure, $' h'$ is the height, $' ρ'$ is the density and $' g'$ is the acceleration due to gravity.

If the holes are made at equal heights from the bottom then the pressure of liquid from both holes will be the same.

Two holes are made at two different heights measured from the bottom of an open-mouthed bottle filled with water. Through which hole water will gush out with more fast speed? If the holes are made at equal heights from the bottom will you get the same result?

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