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 " kg "m^(-3)` , to a height h ` = 60 cm^(2)`each.A small hole having area a=5 cm^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 surfaces . Neglect mass of cylindrical tank camparison to mass of liquids ( take ` g = 10 ms^(-2)`)

Horizontal force F to keep the cylinder in static equilibrium , if it is placed on a smooth 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) = a rho v^(2)`
or `F = 7.2 N `

Options

A. `7.2` N
B. `10 N`
C. `15.5 N`
D. `20 . 4 ` N

Explanation

When cylinder is on smooth horizontal plane force F required to keep cylinder stationary equals horizontal thrust exerted by fluid jet . But that is equal to mass flowing per second ` xx` change in velocity of this mass