Answer :

(a) Charge placed at the centre of the sphere is + q. Thus, charge induced on the inner surface be –q.


Surface charge density at the inner surface of the sphere,


σ1 = =


Charge placed at the centre of the sphere is + q. Thus, charge induced on the inner surface be + q and surface charge distribution is Q. Therefore Total charge = Q + q.


Surface charge density at the outer surface of the sphere,


σ2 = =


(b) Yes


Whatever the shape of the shell, the electric field intensity in the cavity is zero. Take a closed loop such that it is inside the cavity and in conductor. Net work done in carrying charge along closed loop by electric field is zero. Thus, electric field is zero, whatever the shape.


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