A vertical tank, open at the top, is filled with a liquid and rests on a smooth horizontal surface. A small hole is opened at the centre of one side of the tank. The area of cross-section of the tank is N times the area of the hole, where N is a large number. Neglect mass of the tank itself. The initial acceleration of the tank is

Options

A. `(g)/(2N)`
B. `(g)/sqrt(2N)`
C. `(g)/(N)`
D. `(g)/(2sqrt(N))`

Answer

C

Explanation

Force on tank is provided by change in linear movmentum to flow of water
`F=rho((A)/(N))v^(2)" "impliesF=rho((A)/(N))(2g.(H)/(2))`
`F=(rhoAHg)/(N)" "impliesF=m(g)/(N)" "impliesa=(g)/(N)`