A piece of cork (density `0.8g*cm^(-3)`) is placed at the bottom of water. If now the cork is released, then prove that it will rise upwards with an acceleration of `g/4`.

A piece of ice is floating on a liquid of density 1.5g*cm^(-3) kept in a beaker. If the piece of ice melts completely, then the liquid level in the beaker

A piece of cork of density 0.25g*cm^(-3) , attached to a metal piece of mass 10 g and of density 5g*cm^(-3) , is found to float completely immersed in water. Determine the volume of the piece of cork.

A wooden block is floating on water kept in a beaker. 40% of the block is above the water surface. Now the beaker is kept inside a lift that starts going upward with acceleration equal to g/2. The block will then

A wooden block is floating on water kept in a beaker. 40% of the block is above the water surface. Now the beaker is kept inside a lift that starts going upward with acceleration equal to g/2. The block will then

A glass ball of density 2.6g*cm^(-3) is coated with a thick layer of wax of density 0.8g*cm^(-3) . If the combination floats in water remaining completely submerged, find the ratio of the volume of wax to that of the glass ball.

A hollow spherical glass ball sinks in spirit (density 0.8g*cm^(-3) ) remaining immersed just below the surface of the spirit. What will be the immersed fraction when the ball floats on sulphuric acid? [Density of sulphuric acid = 1.8g*cm^(-3) ]

A body of density rho is placed slowly on the surface of a liquid of density delta . If the depth of the liquid is d, then prove that the time taken by the body to reach the bottom of the liquid is [(2drho)/g(rho-delta)]^(1//2) second.

A stone of density 2.5g*cm^(-3) is completely immersed in sea water and is allowed to sink from rest. Calculate the depth attained by the stone in 2s. Neglect the effect of friction. The specific gravity of sea water is 1.025, acceleration due to gravity = 980cm*s^(-2) .