Water is poured in a tank through a cylindrical tube of area of cross-section A and ejecting water at a constant speed 4 ~m / s . The tank contains a hole of area A 2 at bottom. Level of water in the tank will not go up beyond

Step-by-step solution

Let A_ in = A be the area of the inlet tube and v_ in = 4 m/s be the velocity of water entering the tank. Let A_ out = A 2 be the area of the hole at the bottom of the tank. The level of water in the tank stops rising when the rate of water entering the tank equals the rate of water exiting the tank through the hole. This is the condition for steady state. The rate of volume flow entering the tank is Q_ in = A_ in v_ in = A 4 = 4A . The rate of volume flow exiting the tank through the hole is Q_ out = A_ out v_ out