A tank with base area `L^2` is filled with a liquid to height `H`. The tank is acceleration horizontally with acceleration a as shown in figure. If a small hole is made at the point A. then it is observed that the liquid does not come out of the tank. The magnitude of acceleration should be

Options

A. `(H)/(L)g`
B. `(L)/(H)g`
C. `g`
D. None of these

Answer

D

Explanation

(d) The liquid will not come out of the tank at the point A if the free surface passes through the point itself.
`:. tan theta = (2H)/(L) = (a)/(g) or a = ((2H)/(L))g`
Note that volume of water in the tank remains constant.