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Question

The pressure P1 at the top of a dam and P2 at a depth h from the top are related as:


A

P1>P2

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B

P1 = P2

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C

P1P2 = ρgh

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D

P2P1 = ρgh

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Solution

The correct option is D

P2P1 = ρgh


The pressure at a point at a depth h from the top of the surface of the dam is due to the weight of the liquid acting on the point.
So, P = ρgh
where, ρ = density of the liquid
and, g = acceleration due to gravity
Also, depth h for P1 = 0 (top of the dam)
and, depth h for P2 = h
Or, P1 = ρ×g×0 = 0
And, P2 = ρgh
So, P1 and P2 are related as:
P2 - P1 =ρgh


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