A area of cross section of a large tank is `0.5m^2`. It has an opening near the bottom having area of cross section `1cm^2`. A load of 20 kg is applied on the water at the top. Find the velocity of the water coming out of the opening at the time when the height of water level is 50 cm above the bottom. Take `g=10ms^-2`

Consider a water tank as shown in the figre. It's cross-sectional area is 0.4m^(2) . The tank has an opening B near the bottom whose cross-section area is 1 cm^2 . A load of 24kg is applied on the water at the top when the height of the water level is 40 cm above the bottom, the velocity of water combing out the opening B is v ms^(-1) . The value of v, to be nearest integer, is [Take value of g to be 10ms^(-2)]

The density of liquid contained in the tank of area 0.5 m^2 is 1200 kg//m^2 . It has a hole of area 1 cm^2 near the bottom. A load of 30 g is applied on the liquid at the top. Find the velocity of efflux when the height of liquid level is 75 cm above the bottom. Take g = 10 m//s^2 .

A long cylindrical tank of cross-sectional area 0.5m^(2) is filled with water. It has a small hole at a height 50cm from the bottom. A movable piston of cross-sectional area almost equal to 0.5m^(2) is fitted on the top of the tank such that it can slide in the tank freely. A load of 20 kg is applied on the top of the water by piston, as shown in the figure. Calculate the speed of the water jet with which it hits the surface when piston is 1m above the bottom. (Ignore the mass of the piston)

A long cylindrical tank of cross-sectional area 0.5m^(2) is filled with water. It has a small hole at a height 50cm from the bottom. A movable piston of cross-sectional area almost equal to 0.5m^(2) is fitted on the top of the tank such that it can slide in the tank freely. A load of 20 kg is applied on the top of the water by piston, as shown in the figure. Calculate the speed of the water jet with which it hits the surface when piston is 1m above the bottom. (Ignore the mass of the piston)

An open vessel contains water upto height 50 cm in it. What is the velocity of efflux through an orifice at height 30 cm above the bottom level ? [Take g = 10 m//s^(2) ]

An open vessel contains water upto height 50 cm in it. What is the velocity of efflux through an orifice at height 30 cm above the bottom level ? [Take g = 10 m//s^(2) ]

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 ?

Water leaks out from an open tank through a hole of area 2mm^2 in the bottom. Suppose water is filled up to a height of 80 cm and the area of cross section of the tankis 0.4 m^2 . The pressure at the open surface and the hole are equal to the atmospheric pressure. Neglect the small velocity of the water near the open surface in the tank. a. Find the initial speed of water coming out of the hole. b. Findteh speed of water coming out when half of water has leaked out. c. Find the volume of water leaked out during a time interval dt after the height remained is h. Thus find the decrease in height dh in term of h and dt. d. From the result of part c. find the time required for half of the water to leak out.

Water leaks out from an open tank through a hole of area 2mm^2 in the bottom. Suppose water is filled up to a height of 80 cm and the area of cross section of the tankis 0.4 m^2 . The pressure at the open surface and the hole are equal to the atmospheric pressure. Neglect the small velocity of the water near the open surface in the tank. a. Find the initial speed of water coming out of the hole. b. Findteh speed of water coming out when half of water has leaked out. c. Find the volume of water leaked out during a time interval dt after the height remained is h. Thus find the decrease in height dh in term of h and dt. d. From the result of part c. find the time required for half of the water to leak out.