Let V and E represent the gravitational potential and field at a distance r from the centre of a uniform solid sphere.

Question

Let V and E represent the gravitational potential and field at a distance r from the centre of a uniform solid sphere.

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.

(a) Both A and B are correct.

(b) A is correct but.B is wrong.

(c) B is correct but A is wrong.

(d) Both A and B are wrong.

Monjur Alahi

6 views

2025-01-04 04:42

1 Answers

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

(d) Both A and B are wrong.

EXPLANATION:

(A) is wrong because the value of V at the center is -3GM/2a and it increases continuously to -GM/a at the surface and from -GM/a at the surface to zero at the infinity. So it is continuous.

(B) is wrong because the value of E increases linearly from zero at the center to GM/a² at the surface, then decreases from GM/a² at the surface to zero at the infinity. So it is also continuous.