A solid spherical ball is half submerged in liquid is at equilibrium. Density ball is `rho kg/m^3` density of liquid is `sigma kg/m^3` and surface tension of liquid is T. Find radius of ball.

Two identical balls each having a density rho are suspended from as common point by two insulating strings of equal length. Both the balls have equal mass and charge. In equilibrium each string makes an angle theta with vertical. Now, both the balls are immersed in a liquid. As a result the angle theta does not change. The density of the liquid is sigma . Find the dielectric constant of the liquid.

A ball weighs 80 g in air 60g in water and 50g in liquid if the density of water is 1gcm^-3 find the density of this liquid.

A sphere of density rho is half submerged in a liquid of density sigma and surface tension T. The sphere remains in equilibrium. Find radius of the sphere (assume the force due to surface tension acts tangentially to surface of sphere)

A wood is of density 680kg//m^(3) . It is submerged in three liquids. Those are alcohol, water and glycerine. The density of alcohol is 780kg//m^(3) . The density of waer is 1g//cm^(3) and the density of glycerine is 1.250g//cm^(3) . In which liquid is the wood less submerged?

A capillary of radius 0.15mm is dipped in liquid of density 'rho' = 667 kg/m^3. If surface tension of liquid is 1/20 N/m then find height upto which liquid rises in capillary. Angle of contact between liquid and capillary tube is 60^@ . (g=10m/s^2)

In a cylindrical container water is filled up to a height of h_(0)=1.0m . Now a large number of small iron balls are gently dropped one by one into the container till the upper layer of the balls touches the water surface. if average density of the contents is rho=4070 kg//m^(3) , density of iron is rho_(i)=7140kg//m^(3) and density of iron is rho_(0)=1000kg//m^(3) find the height h of the water level (in S.I. units) in the container with the iron balls.

A small spherical solid balls is dropped in a viscous liquid. Its journey in the liquid is best described in the figure by

A rubber ball of bulk modulus B is taken to a depth h of a liquid of density rho . Find the fractional change in the radius of the ball.

A needle of length l and density rho will float on a liquid of surface tension sigma if its radius r is less than or equal to:

An object of w and density rho is submerged in liquid of density sigma , its apparent weight will be