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