Variation Of Pressure - Practice Questions & MCQ

A U tube with both ends open to the atmosphere, is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of 10 mm above the water level on the other side. Meanwhile the water rises by 65 mm from its original level (see diagram). The density of the oil is

Water stands at a height H in a tall cylinder (see Fig)
. Two holes A and B are made on the sides of the cylinder. If hole A is at a height h above the ground, what is the height of hole B above the ground so that the two streams of water emerging from holes A and B strike the ground at the same point?

A large block of ice thick has a vertical hole drilled through it and is floating in the middle of a lake. The minimum length of the rope required to scoop up bucket full of water through the hole is (the relative density of ice  )

If a rubber cube is taken deep in a lake, its volume reduces by The bulk modulus of rubber is nearly.

A bucket contains water filled upto a height . The bucket is tied to a rope which is passed over a frictionless light pulley and the other end of the rope is tied to a weight of mass which is half of that of the (bucket + water). The water pressure above atmosphere pressure at the bottom is

A fire hydrant delivers water of density at a volume rate  . The water travels vertically upward through the hydrant and then does turn to emerge horizontally at speed V. The pipe and nozzle have uniform cross-section throughout. The force exerted by the water on the corner of the hydrant is :

A hemispherical portion of radius is removed from the bottom of a cylinder of radius R. The volume of the remaining cylinder is V and its mass is M. It is suspended by a string in a liquid of density where it stays vertical. The upper surface of the cylinder is at a depth h below the liquid surface. The force on the bottom of the cylinder by the liquid is

A tank is filled with water up to a height   Water is allowed to come out of a hole P in one of the walls at a depth D below the surface of water. Express the horizontal distance  in terms of and D

A cylindrical vessel contains a liquid of density \rho upto a height h. The liquid is dosed by a piston of mass m and area of cross-section
A. There is a small hole at the bottom of the vessel. The speed v with which the liquid comes out of the holes :

A body floats in a liquid with one fourth volume out of liquid. The same body floats in water with its one third volume out of water. Find density of liquid.