If pressure at half the depth of a lake is equal to 2//3 pressure at the bottom of the lake then what is the depth of the lake ?

Options

A. 10 m
B. 20 m
C. 60 m
D. 30 m

Answer

B

Explanation

`P_1 = P_0 + rho g .(h)/(2) . P_2 = P_0 + rho gh`
`P_1 = (2)/(3) P_2`
`P_0+(rho gh)/(2) = (2)/(3) (P_0 + rho gh)`
`(P_0)/(3) = ((2)/(3) - (1)/(2)) rho gh`
`(10^5)/(3) = (1)/(6) xx 10^3 xx 10 h`.
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