The average depth of Indian ocean is 3 km. Find the fractional compression of water at the bottom of the ocean, given that bulk modulus of water id `2.2 xx 10^9 Nm^-2`.

The Marina trench is located in the Pacific Ocean, and at one place it is nearly eleven km beneath the surface of water. Hie water pressure at the bottom of the trench is about 1.1 xx 10^8 Pa. A steel ball of initial volume 0.32 m^3 is dropped into the ocean and falls to the bottom of the trench. What is the change in the volume of the ball when it reaches to the bottom?

Two identical steel cubes (masses 50 g, side 1 cm) collide head-on face to face with a speed of 10 cm/s each. Find the maximum compression of each. Young's modulus for steel, Y = 2 xx 10^11 N//m^2 .

Two narrow bores of diameters 3.0 mm and 6.0 mm are joined together to form a U-tube open at both ends. If the U-tube contains water, what is the difference in its levels in the two limbs of the tube ? Surface tension of water at the temperature of the experiment is 7.3xx 10^-2 N m^-1 '. Take the angle of contact to be zero and density of water to be 1.0xx 10^3 kg m^- 3 ( g = 9.8 m s^-2 ) .

To what depth must a rubber ball be taken in deep sea so that its volume is decreased by 0.1%. (The bulk modulus of rubber is 9.8 xx 10^8 N m^-2 , and hte density of sea water is 10^3 k m^-3 ).

Compare the densities of water at the surface and bottom of a lake 100 m deep, given that the compressibility is (10^-3)/(22) per atm and 1 atm = 1.015 xx 10^5 Pa .