A cylinderical container having radius r has perforated wall. There are large number of uniformly spread small holes on the vertical wall occupying a fraction `eta=0.02` of the entire area of the wall. To maintain the water level at height H in the contaienr water is being fed to it at a cosntant rate `Q(m^(3)s^(-1))`. find Q.

Water flows out of a small hole in the wall of a large tank near its bottom. What is the speed of efflux of water when height of water level in the tank is 5.0 m ?

A container has a small hole at its bottom. Area of cross-section of the hole is A_(1) and that of the container is A_(2) . Liquid is poured in the container at a constant rate Q m^(3)s^(-1) . The maximum level of liquid in the container will be

Two identical tall jars are filled with water to the brim. The first jar has a small hole on the side wall at a depth h//3 and the second jar has a small holw on the side wall at a depth of 2h//3 , where h is the height of the jar. The water issuing out from the first jar falls at a distance R_(1) from the base and the water issuing out from the second jar falls at a distance R_(2) From the base. The correct relation between R_(1) and R_(2) is

In a cylindrical container water is filled up to a height of h_(0)=1.0m . Now a large number of small iron balls are gently dropped one by one into the container till the upper layer of the balls touches the water surface. if average density of the contents is rho=4070 kg//m^(3) , density of iron is rho_(i)=7140kg//m^(3) and density of iron is rho_(0)=1000kg//m^(3) find the height h of the water level (in S.I. units) in the container with the iron balls.

A cylindrical container has insulating wall and an insulating piston which can freely move up and down without any friction. It contains a mixture of ideal gases. Originally the gas is at atmospheric pressure P_(0) and temperature (T_(0)) . A tap positioned above the container is opened and it supplies water at a constant rate of (dm)/(dt)= 0.25 kg//s . The water collects above the piston in the container and the gas compresses. The tap is kept open till the temperature of the gas is doubled. During the process the T vs (1)/(V) graph for the gas was recorded and found to be a parabola with its vertex at origin as shown in the graph. Area of piston A = 1.515 xx 10^(-3) m^(2) and atmospheric pressure = 10^(5) N//m^(2) (a) Find the ratio of V_(rms) and speed of sound in the gaseous mixture. (b) For how much time the tap was kept open?

Oil is filled in a cylindrical container up to height 4m. A small hole of area 'p' is punched in the wall of the container at a height 1.52m from the bottom. The cross sectional area of the container is Q. If p/q = 0.1 then v is (where vis the velocity of oil coming out of the hole)

The diagram shows a tall cylindrical container kept on a horizontal surface. From a tap, water come with constant rate q m^(3)//s . Initially the container was empty. An orifice of area of cross section A is made at some height h in the side wall of the container. If the horizontal range of the water jet in steady is found to be 2h, then the relation between h and q is

Two capillaries of small cross section are connected as shown in the figure. The right tube has cross sectional radius R and left one has a radius of r (lt R) . The tube of radius R is very long where as the tube of radius r is of short length. Water is slowly poured in the right tube. Contact angle for the tube wall and water is theta = 0^(@) . Let h be the height difference between water surface in the right and left tube. Surface tension of water is T and its density is rho . (a) Find the value of h if the water surface in the left tube is found to be flat. (b) Find the maximum value of h for which water will not flow out of the left tube .