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Questions  

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?

a
10 m
b
20 m
c
60 m
d
30 m

detailed solution

Correct option is B

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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Similar Questions

Consider the following statements 
(A) In the three cases shown in the figure, force exerted by liquid on the bottom of vessels is same.
(B) Pressure at the bottom in each case is same.
Select the correct option.
(a) (A) is false but (B) is true.
(b) Both (A) and (B) are true.
(c ) (A) is true but (B) is false.
(d) Both (A) and (B) are false.
 


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