Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
Let V and E denote the gravitational potential and gravitational field at a point. It is possible to have (1)\[V=0\]and\[E=0\] (2)\[V\ne 0\]and\[E=0\] (3)\[V\ne 0\]and\[E\ne 0\] (4)\[V=0\]and\[E\ne 0\]A) 1, 2 and 3 are correct
B) 1 and 2 are correct
C) 2 and 4 are correct
D) 1 and 3 are correct
Correct Answer: A
Solution :
From relation \[E=-\frac{dV}{dr}\] when \[V=0,\text{ }E=0\] when V = constant, E = 0 when \[V\ne 0,\text{ }E\ne 0\]
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