Let V and E represent the gravitational potential and field at a distance r from the Centre of a uniform solid sphere. Consider the two statements:
(A)The plot of V against r is discontinuous
(B)The plot of E against r is discontinuous
The graph of electric field versus distance and potential versus distance is shown in the figure below.
From the graph it is clear that the electric field has a discontinuity at a distance equal to the radius (r=R), while the potential is a continuous function.