An expansible balloon filled with air floats on the surface of a lake with `2//3` of its volume submerged. How deep must it be sunk in the water so that it is just in equilibrium neither sinking further nor rising? Is is assumed that the temperature of the water is constant `&` that the height of the water barometer is `9` meters.

An expansible balloon filled with air is floating on the top surface of a lake, with 2//3 of its volume is submerged in water. How deep should it be sunk in water without changing the temperature of air in it, in order that it is just in equilibrium, neither sinking nor rising further? Height of water barometer = 10 m .

A sealed balloon, filled with air, floats in water with (1)/(3) of its volume submerged. It was found that if it is pushed inside water at a depth h, it remains in equilibrium, neither sinking nor rising. Find h. Given that height of water barometer is 10m and temperature is constant at all depth.

A small piece of wood is floating on the surface of a 2.5 m deep lake. Where does the shadow form on the bottom when the sun is just setting? Refractive index of water = 4/3

A block of ice on earth floats on water with 9//10 of its volume submerged. Statement-1: On moon the block of ice would float on water with less than 9//10 of its volume submerged. Statement-2: The acceleration due to gravity on moon surface is less than that on earth.

when an air bubble rises from the bottom to the surface of a lake, its radius becomes double . Find the depth of the lake , given that the atmospheric pressure is equal to the pressure due to a column of water 10 m high. Assume constant temperature and disreged surface tension .

When an air bubble of radius 'r' rises from the bottom to the surface of a lake, its radius becomes 5r//4 (the pressure of the atmosphere is equal to the 10 m height of water column). If the temperature is constant and the surface tension is neglected, the depth of the lake is

A narrow tube of length l and radius r is sealed at one end. Its open end is brought in contact with the surface of water while the tube is held vertical. The water rises to a height h in the tube. The contact angle of water with the tube wall is theta , density of water is rho and the atmospheric pressure is P_(o) . Find the surface tension of the liquid. Assume that the temperature of air inside the tube remains constant and the volume of the meniscus is negligible.

A syringe has two cylindrical parts of cross sectional area A_(1) = 4 cm^(2) and A_(2) = 1 cm^(2) . A mass less piston can slide on the inner wall of the part having cross section A_(1) . The end of the part having cross section A_(2) is open. Syringe is dipped in a large water tank such that the narrower part remains completely submerged and the wider part is filled with air. The length shown in figure are h_(1) = 55 cm " and " h_(2) = 100 cm. The piston is pushed down by a distance x such that 25% of the air inside the syringe is expelled out through the open end of the narrower part. Assume that the temperature of air remains constant and calculate x. Density of water = 10^(3) k gm^(– 3) , g = 10 ms^(– 2) , Atmospheric pressure = 10^(5) Nm^(–2) .

An air bubble rises from the bottom to the surface of lake and it is found that its diameter is duubled. If the height of water barometer is 11m , the depth of the lake in maters is

An air bubble starts rising from the bottom of a lake and its radius is doubled on reaching the surface. If the temperature is costant the depth of the lake is. ( 1 atmospheric pressure = 10m height of water column)