A uniform solid sphere of radius R is in equilibrium inside a liquid whose density varies with depth from free surface as `rho=rho_(0)(1+h/(h_(0)))` where h is depth from free surface. Density of sphere `sigma` will be :

The pressure inside a liquid of density rho at a depth h is :

The density rho of a liquid varies with depth h from the free surface as rho=kh . A small body of density rho_(1) is released from the surface of liquid. The body will

A small spherical ball of radius r is released from its completely submerged Position (as shown in the figure) in a liquid whose density varies with height h (measured from the bottom) as rho_(L)=rho_(0)[4-(3h//h_(0))] .The density of the ball is ( 5//2)rho_(0) . The height of the vessel is h_(0)=12//pi^(2) Consider r lt lt h_(0) and g = 10 m//s^(2) . Where will the ball come in the equilibrium?

A small spherical ball of radius r is released from its completely submerged Position (as shown in the figure) in a liquid whose density varies with height h (measured from the bottom) as rho_(L)=rho_(0)[4-(3h//h_(0))] .The density of the ball is ( 5//2)rho_(0) . The height of the vessel is h_(0)=12//pi^(2) Consider r lt lt h_(0) and g = 10 m//s^(2) . Where will the ball come in the equilibrium?

A small spherical ball of radius r is released from its completely submerged Position (as shown in the figure) in a liquid whose density varies with height h (measured from the bottom) as rho_(L)=rho_(0)[4-(3h//h_(0))] .The density of the ball is ( 5//2)rho_(0) . The height of the vessel is h_(0)=12//pi^(2) Consider r lt lt h_(0) and g = 10 m//s^(2) . The ball will reach at the bottom of the vessel

A small spherical ball of radius r is released from its completely submerged Position (as shown in the figure) in a liquid whose density varies with height h (measured from the bottom) as rho_(L)=rho_(0)[4-(3h//h_(0))] .The density of the ball is ( 5//2)rho_(0) . The height of the vessel is h_(0)=12//pi^(2) Consider r lt lt h_(0) and g = 10 m//s^(2) . The ball will reach at the bottom of the vessel

A small spherical ball of radius r is released from its completely submerged Position (as shown in the figure) in a liquid whose density varies with height h (measured from the bottom) as rho_(L)=rho_(0)[4-(3h//h_(0))] .The density of the ball is ( 5//2)rho_(0) . The height of the vessel is h_(0)=12//pi^(2) Consider r lt lt h_(0) and g = 10 m//s^(2) . The motion of the ball in the vessel is

A small spherical ball of radius r is released from its completely submerged Position (as shown in the figure) in a liquid whose density varies with height h (measured from the bottom) as rho_(L)=rho_(0)[4-(3h//h_(0))] .The density of the ball is ( 5//2)rho_(0) . The height of the vessel is h_(0)=12//pi^(2) Consider r lt lt h_(0) and g = 10 m//s^(2) . The motion of the ball in the vessel is

Charge density of a sphere of radius R is rho = rho_0/r where r is distance from centre of sphere.Total charge of sphere will be

Charge density of a sphere of radius R is rho = rho_0/r where r is distance from centre of sphere.Total charge of sphere will be