In a container having water filled upto a height h, a hole is made in the bottom. The velocity of the water flowing out of the hole is

A tank containing water upto the height 15 m from the bottom of the tank. Find the speed and horizontal range of the water jet coming out through an orifice which is at 5 m above the bottom of the wtawer tank . {(Use g = 10 m s^-2)

Find the time required for a cylindrical tank of radius r and height H to empty through a round hole of area a at the bottom. The flow through the hole is according to the law v(t)=ksqrt(2gh(t)) , where v(t) and h(t) , are respectively, the velocity of flow through the hole and the height of the water level above the hole at time t , and g is the acceleration due to gravity.

Water is dripping out from a conical funnel at a uniform rate of 4c m^3//sec through a tiny hole at the vertex in the bottom. When the slant height of the water is 3cm , find the rate of decrease of the slant height of the water-cone. Given that the vertical angle of the funnel is 120^0dot

An observer can see through a pin-hole the top end of a thin rod of height h, placed as shown in the figure. The height of beaker is 3h and its radius is h. When the beaker is filled with a liquid up to a height 2h, he can see the lower end of the rod. Then the refractive index of the liquid is .

The area of cross section of the pipe is 4.8 cm2 and water is pumped out of it and the rate of 24 km/hr. Find in litres the volume of water which flows out of the pipe in one minute.

A hollow sphere is filled with water through a small hole in it. It is hung by long thread and as water slowly flows out from the hole at the bottom, one finds that the periods of oscillation first increases and then decreases. Explain. Why.

Water is dripping out form a conical funnel at the uniform rate of 2cm^3//s through a tiny hole at the vertex at the bottom. When the slant height of the water is 5 cm, find the rate of decrease of the slant height of the water.

A right circular cone of diameter r cm and height 12 cm rests on the base of a right circular cylinder of radius r cm. Their bases are in the same plane and the cylinder is filled with water upto a height of 12 cm. If the cone is removed, find the height to which water level fall.

A solid cylinder of height H has a conical portion of same height and radius 1//3rd of height removed from it. Rain water is accumulating in it, at the rate equal to pi times the instaneous radius of the water surface inside the hole, the time after which hole will filled with water is

Water stands at a depth 'H' in a tank whose side walls are vertical. A hole is made on one of the walls at a depth 'h' below the water surface. What is the velocity of efflux?