Q.

If pressure at half the depth of a lake is equal to ⅔ pressure at the bottom of the lake then what is the depth of the lake?

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a

10 m

b

20 m

c

60 m

d

30 m

answer is B.

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Detailed Solution

Pressure at half the depth = Po+h2dgPressure at the bottom = P0+hρgAccording to given conditionPo+h2dg = 23(P0+hdg)⇒ 3P0+3h2dg = 2Po+2hdg⇒  h = 2Podg = 2×105103×10 = 20 m
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