A cylindrical tank having cross-sectional area `A = 0.5 m^(2)` is filled with two liquids of density `rho_(1)=900 kg m^(-3)` and `rho_(2)=600 kgm^(-3)`, to a height `h=60cm` each as shown in the figure. A small hole having area `a=5cm^(2)` is made in right vertical wall at a height `y = 20 cm` from the bottom. A horizontal force `F` is applied on the tank to keep it in static equilibrium. The tank is lying on a horizontal surface. Neglect mass of the cylindrical tank in comparison to mass of the liquids (Take g = 10 ms^(-2)`).

The velocity of efflux is

Options

A. `7.2N`
B. `10N`
C. `15.5N`
D. `20.4N`

Answer

A

Explanation

When the cylinder is on the smooth horizontal plane, force `F` required to keep the cylinder statioinary equals horizontal thrust exerted by fluid jet . But that is equal to mass flowing per second `xx` change in velocity of this mass.
`:. F=(avrho)(v-0)=arhov^(2)` or `F=7.2N`