Water flows into a large tank with flat bottom at the rate of `10^(-4) m^(3)s^(-1)`. Water is also leaking out of a hole of area 1 `cm^(2)` at its bottom. If the height of the water in the tank remains steady, then this height is :

Options

A. 1.7 cm
B. 4 cm
C. 2.9 cm
D. 5.1 cm

Answer

D

Explanation

`sqrt(2 gh) xx A = V `
`h = ((10^(-4))^(2))/(2 xx 9.8 xx (10^(-4))^(2)) = 5.1 cm`