Question

Let $V$ and $E$ denote the gravitational potential and gravitational field at a point, respectively. It is possible to have

• A. $V=0$ and $E=0$
• B. $V=0$ and $E\ne 0$
• C. $V\ne 0$ and $E=0$
• D. $V\ne 0$ and $E\ne 0$

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A $V=0$ and $E\ne 0$
B $V\ne 0$ and $E=0$
C $V\ne 0$ and $E\ne 0$
D $V=0$ and $E=0$

We know the relations $E=-\frac{dV}{dx}$ and hence $V=-\int E.dx$.

All the options can satisfy both the equations since the parameters are considered only for a point and we know that $\frac{dy}{dx}$ can be 0 without $y=0$ for a given point.

Answer is ABCD.