A spherical shell of inner radius `R_(1)` and outer radius `R_(2)` is having variable Where 'r' is the distance from the centre Two surface of the shell are maintained at temperature `T_(1)` respectively `(T_(1) ltT_(2))` The heat current flowing through the shell would be .

A metallic spherical shell has an inner radius R_(1) and outer radius R_(2) . A charge is placed at the centre of the spherical cavity. The surface charge density on the inner surface is

A point charge Q is placed inside a conducting spherical shell of inner radius 3R and outer radius 5R at a distance R from the centre of the shell. The electric potential at the centre of the shell will be

A thick spherical shell of inner and outer radii r and R respectively has thermal conductivity k = (rho)/(x^(n)) , where rho is a constant and x is distance from the centre of the shell. The inner and outer walls are maintained at temperature T_(1) and T_(2) (lt T_(1)) (a) Find the value of number n (call it n_(0) ) for which the temperature gradient remains constant throughout the thickness of the shell. (b) For n=n_(0) , find the value of x at which the temperature is (T_(1)+T_(2))/(2) (c) For n = n_(0) , calculate the rate of flow of heat through the shell.

A spherical conducting shell of inner radius R_(1) and outer radius R_(2) has charge Q. Now a charge q is placed inside the shell but not at centre then surface charge densities with their nature on inner and outer surfaces of shell are respectively.

A hollow tube has a length l, inner radius R_(1) and outer radius R_(2) . The material has a thermal conductivity K. Find the heat flowing through the walls of the tube if (a) the flat ends are maintained at temperature T_(1) and T_(2) (T_(2)gtT_(1) (b) the inside of the tube is maintained at temperature T_(1) and the outside is maintained at T_(2) .

The distance of the centre of mass of a hemispherical shell of radius R from its centre is

A point charge q is placed inside a conducting spherical shell of inner radius 2 R and outer radius 3 R at a distance of R from the center of the shell. Find the electric potential at the center of the shell.