Question

A solid non conducting sphere is charged in such a way that in it as we move away from the centre, the electric field decreases then which of the following statement is/are correct :

• A. the sphere is non uniformly charged
• B. the potential at surface is less than that at its centre
• C. the potential at surface is more than that at its centre
• D. the potential at surface may be less than that at its centre

Answer 1

Answer: (A), (D)

The correct options are
A the sphere is non uniformly charged
D the potential at surface may be less than that at its centre

For a uniformly charged sphere, the Electric field varies with r as shown in the figure.
Therefore, it has to be non uniformly charged. Nothing can be said about the potential of the sphere unless the charge distribution is specified.