Let V and E represent the gravitational potential and field at a dista

1.	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.
Answer» (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.

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.

Answer»

(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.

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