There are two identical small holes on the opposite sides of a tank containing a liquid. The tank is open at the top. The difference in height between the two holes is `h`. As the liquid comes out of the two holes. The tank will experience a net horizontal force proportional to.
.

Options

A. `sqrt(h)`
B. h
C. `h^(3//2)`
D. `h^2`

Answer

B

Explanation

`F_1 = rho a v_(1)^(2), F_2 = rho a v_(2)^(2)`
`F_(1) gt F_(2)`
`F = F_(1) - F_(2) = rho a(v_(2)^(2) - v_(1)^(2)) = rho a(2 gh_(2) - 2 gh_(1))`
=`2 rho a g(h_2 - h_1) = 2 rho ag h`.
.