A sphere of radius R carries charge such that its volume charge density is proportional to the square of the distance from the centre. What is the ratio of the magnitude of the electric field at a distance 2 R from the centre to the magnitude of the electric field at a distance of `R//2` from the centre?

A sphere of radius R carries charge density p proportional to the square of the distance from the centre such that p = Cr^(2) , where C is a positive constant. At a distance R // 2 from the centre, the magnitude of the electric field is :

For distance far away from centre of dipole the change in magnitude of electric field with change in distance from the centre of dipole is

The correct plot of the magnitude of magnetic field vecB vs distance r from centre of the wire is, if the radius of wire is R

The magnitude of gravitational potential energy of a body at a distance r from the centre of earth is u. Its weight at a distance 2r from the centre of earth is

A point charge Q is placed at the centre of a spherical conducting shell. A total charge of -q is placed on the shell. The magnitude of the electric field at point P_1 at a distance R_1 from the centre is X. The magnitude of the electric field due to induced charges at point P_2 a distance R_2 from the centre is Y. The values of X and Y are respectively.

The electric field at a distance 3R//2 from the centre of a charge conducting spherical shell of radius R is E . The electric field at a distance R//2 from the centre of the sphere is

The electric field at 2R from the centre of a uniformly charged non - conducting sphere of rarius R is E. The electric field at a distance ( R )/(2) from the centre will be

A conducting sphere of radius R is charged to a potential of V volts. Then the electric field at a distance r ( gt R) from the centre of the sphere would be