Let V and E be the gravitational potential and gravitational field at a distance r from the centre of a uniform spherical shell. Consider the following two statements:
(A) The plot of V against r is discontinuous and
(B) The plot of E against r is discontinuous
Answer & explanation
Correct answer: option 3
Gravitational potential inside the shell remains constant where as intensity I of the gravitational field is zero. The value of I jumps from zero to $\frac{GM}{R^2}$ at the surface of the spherical shell. That means it is discontinuous but not the potential the distance r As all the points inside the shell are equipotential.
⇒ B is correct and A is wrong.