Let V and E denote the gravitational potential and gravitational field at a point.

Question

Let V and E denote the gravitational potential and gravitational field at a point.

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

(a) V = 0 and E = 0

(b) V = 0 and E ≠ 0

(c) V≠ 0 and E = 0

(d) V≠ 0 and E ≠ 0.

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

All of these

EXPLANATION:

Consider a thin spherical shell and choose r = infinity where potential is zero. At infinity V = 0, E = 0. So (a) is true. At any point outside the shell V ≠ 0 and E ≠ 0. So (d) is true. At any point inside the shell E = 0 but V ≠ 0. So (c) is true.

Keeping infinity as a reference point (b) cannot be true. But if we choose reference point just outside the shell then here V = 0 but E ≠ 0. So (b) is true.