# Shown in the figure is a shell made of a conductor. It has inner radius a and outer radius b, and carries charge Q, At its centre is a dipole  as shown. In  this case : Option 1) surface charge density on the outer surface depends on  Option 2) electric field outside the shell is the same as that of a point charge at the centre of the shell Option 3) surface charge density on the inner surface is uniform and equal to  Option 4) surface charge density on the inner surface of the shell is zero everywhere

The electric field formed by dipole is non-uniform and hence the charge induced on the inner surface is also non-zero and non-uniform. So far any observed outside the shell, the resultant electric field is due to Q uniformly distributed on outer surface and it is equal to

Option 1)

surface charge density on the outer surface depends on

Option 2)

electric field outside the shell is the same as that of a point charge at the centre of the shell

Option 3)

surface charge density on the inner surface is uniform and equal to

Option 4)

surface charge density on the inner surface of the shell is zero everywhere

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