Let and denote the gravitational potential and gravitational field

PHYSICS · Single correct · AP · Physics C: Mechanics · Force and Translational Dynamics · Force and Translational Dynamics

Problem

Let

V

and

E

denote the gravitational potential and gravitational field, respectively, at a point due to certain uniform mass distribution described in four different situations of Column I. Assume the gravitational potential at infinity to be zero. The values of

E

and

V

are given in Column II. Match the statement in column I with the result in Column II.

Column I	Column II
(A) At the centre of thin spherical shell	(P) $E = 0$
(B) At the centre of solid sphere	(Q) $E \neq 0$
(C) A solid sphere has a non-concentric spherical cavity. At the centre of the spherical cavity.	(R) $V \neq 0$
(D) At the centre of the joining two point masses of equal magnitude	(S) $V = 0$

(1) A-P,S; B-P,R; C-P,R; D-P,R (2) A-P,R; B-P,R; C-Q,R; D-P,R (3) A-P,R; B-P,R; C-P,R; D-P,R (4) A-Q,R; B-P,R; C-Q,R; D-P,R

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