The thermal power of density 100J/m^(3) is generated at a constant rate inside a uniform sphere of radius 10m and thermal conductivity `0.25wm^(-1)k^(-1)` .The temperature inside the sphere at a distance "5m" from center will be, if steady state temperature at surface is 600k

The thermal powered density u is generated uniformly inside a uniform sphere of radius R and thermal conductivity Find the temperature distribution in the sphere when the steady state temperature at the surface is T_(0) .

The thermal power of density omega is generated uniformly inside a uniform sphere of radius R and heat conductivity coefficient x . Find the temperature distribution in the sphere provided the steady-state temperature at its surface is eqal to T_0 .

A charge of 24 muC is given to a hollow metallic sphere of radius 0.2m. Find the potential (i) at the surface of sphere (ii) at a distance of 0.1 cm from the center of sphere.

An isolated conducting sphere of radius 0.1m placed in vacuum carries a positive charge of 0.1muC . Find the electric intensity at a point at a distance 0.2 m from the centre of the sphere.

The figure represents a solid uniform sphere of mass M and radius R . A spherical cavity of radius r is at a distance a from the centre of the sphere. The gravitational field inside the cavity is

The electric intensity at a point distant 1 m from the centre of a sphere of radius 25 cm in air is 10^(4)N//C . The surface density of the charge on the surface of sphere is

A cylindrical block of length 0.4 m and area of cross-section 0.04 m^2 is placed coaxially on a thin metal disc of mass 0.4 kg and of the same cross - section. The upper face of the cylinder is maintained at a constant temperature of 400 K and the initial temperature of the disc is 300K. if the thermal conductivity of the material of the cylinder is 10 "watt"// m-K and the specific heat of the material of the disc is 600J//kg-K , how long will it take for the temperature of the disc to increase to 350 K? Assume for purpose of calculation the thermal conductivity of the disc to be very high and the system to be thermally insulated except for the upper face of the cylinder.