Water is being poured in a vessel at a constant rate `alpha m^(2)//s`. There is a small hole of area a at the bottom of the tank. The maximum level of water in the vessel is proportional to

A point source S is placed at a height h from the bottom of a vessel of height H(lt h) . The vessel is polished at the base. Water is polished at the base. Water is gradually filled in the vessel at a constant rate alpha m^(3)//s . The distance d of image of the source after reflection from mirror from the bottom of the vessel varies with time t as

The level of water in a tank is 5 m high . A hole of the area 10 cm^2 is made in the bottom of the tank . The rate of leakage of water from the hole is

Water is being poured on to a cylindrical vessel at the rate of 1(m^(3))/(min) .If the vessel has a circular base of radius 3m ,find the rate at which the level of water is rising in the vessel.

The level of water in a tank is 5m high.A hole of area 1cm^2 is made in the bottom of the tank. The rate of leakage of water from the hole is (g=10ms^(-2)

Water is maintained at a constant level of 4.9 m in a big tank. The tank has a small hole to the wall near the bottom. The bottom of the tank is 2.5 above the ground level. The horizontal distace at which water touches are ground is

A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is tan ^(-1)((1)/(2)) . Water is poured into it at a constant rate of 5 cu m/min. Then, the rate (in m/min) at which the level of water is rising at the instant when the depth of water in the tank is 10 m is

A tank has a hole at its bottom. The time needed to empty the tank from level h_(1) to h_(2) will be proportional to

A cylindrical vessel of cross section A contains water to a height h. There is a hole in the bottom of radius 'a'. The time in which it will be emptied is:

In the figure shown, water flows into the open vessel through pipe A at a constant rate. The water can flow out of the vessel by pipe B. The maximum flow-rate fo the water in pipe B is slightly more than that in pipe A. Final height of the water level in the vessel would be

A cylindrical vessel contains a liquid of density rho up to height h . The liquid is closed by a piston of mass m and area of cross section A . There is a small hole at the bottom of the vessel. The speed v with which the liquid comes out of the hole is