A large cylinderical tank of cross-sectional area `1m^(2)` is filled with water . It has a small hole at a height of 1 m from the bottom. A movable piston of mass 5 kg is fitted on the top of the tank such that it can slide in the tank freely. A load of 45 kg is applied on the top of water by piston, as shown in figure. The value of v when piston is 7 m above the bottom is `(g=10m//s^(2)`)
(a). `sqrt(120)m//s`
(b). `10m//s`
(c). `1m//s`
(d). `11m//s`

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)

A cylinderical jar of cross-sectional area of 50 cm^(2) is filled with water to a height of 20cm . It carries a tight fitting piston of negligible mass. Calculate the pressure at the bottom of the jar when a mass of 1 kg is placed on the piston . Ignore atmospheric pressure.

A cylindrical tank with a large diameter is filled with water. Water drains out through a hole at a bottom of the tank . If the cross - sectional area of the hole is 6 cm ^2 then the drainge rate ( in m^3//s ) when the depth of the water is 0.2 m is

A cylindrical tank is filled with water to a level of 3m. A hole is opened at a height of 52.5 cm from bottom. The ratio of the area of the hole to that of cross-sectional area of the cylinder is 0.1. The square of the speed with which water is coming out from the orifice is (Take g= 10 m//s^(2) )