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 value of E and V are given in column-II. Match the statement in column-I with results in column-II.
Column-I | Column-II | ||
(A) | At center of thin spherical shell | (P) | E = 0 |
(B) | At center of solid sphere | (Q) | E ≠ 0 |
(C) | A solid sphere has a non-concentric spherical cavity. At the center of the spherical cavity | (R) | V ≠ 0 |
(D) | At center of line joining two point masses of equal magnitude | (S) | V = 0 |
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(P, R) - (P, R) - (Q, R) - (P, R)
Sol. At center of thin spherical shell V ≠ 0, E = 0.
At center of solid sphere V ≠ 0, E = 0.
At center of spherical cavity inside solid sphere V ≠ 0, E ≠ 0.
At center of two point masses V ≠ 0, E=0.
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