A Spring Balance Reads 10 Kg When A Bucket Of Water Is Suspended From It. What Will Be The Reading Of The Balance When An Iron Piece Of Mass 7.2 Kg Suspended By A String Is Immersed With Half Its Volume Inside The Water In The Bucket? Relative Density Of Iron Is 7.2.  

A rectangular container with base  contains 5 kg of water. What is the pressure exerted by water at the bottom of the container? 

A cylindrical jar of cross-sectional area 0.01 m² is filled with water to a height of 50 cm. It carries a tight-fitting piston of negligible mass. What is the pressure at the bottom of the jar when a mass 1 kg is placed on the piston? Take g = 10 ms^–2.

A hydraulic lift is used to lift a car of mass 3000 kg. The cross-sectional area of the lift on which the car is supported is . What is the pressure on the smaller piston, if both the pistons are at the same horizontal level?

Take g =10 ms^–2. 

A spherical ball of radius  and 10⁴ kg/m³ falls freely under gravity through a distance h before entering a tank of water. If after entering the water the velocity of the ball does not change, find h. The viscosity of water is .  

A ring is cut from a platinum tube of 8.5 cm internal and 8.7 cm external diameter. It is supported horizontally from a pan of a balance so that it comes in contact with the water in a glass vessel. What is the surface tension of water is an extra 3.97 g weight is required to pull it away from water? (g = 980 cm/s²)

What is the pressure on the smaller piston if the bigger piston is 5 m above the smaller piston. The density of oil filling the hydraulic machine is 800 kg m^–3.

A vertical off-shore structure is built to withstand a maximum stress of 10⁸Pa. The structure is suitable for putting up on the top of an oil well in Bombay High at a location where the depth of the sea is less than

(Take g = 10 ms^–2 and density of sea water = 1000 kgm^–3) 

A tank with a square base of area 2.0 m² is divided into two compartments by a vertical partition in the middle. There is a small hinged door of face area 20 cm² at the bottom of the partition. Water is filled in one compartment and an acid of relative density 1.5 in the other, both to a height of 4 m. If g = 10 ms^–2, the force necessary to keep to door closed is  

A cubical block of steel of each side equal to l is floating on mercury in a vessel. The densities of steel and mercury are  and . The height of the block above the mercury level is given by   

A vessel contains oil of density 0.8 gcm^–3 floating over mercury of density 13.6 gcm^–3. A homogeneous sphere floats with half its volume immersed in mercury and the other half in oil. The density of the sphere in gcm^–3 is