List - I shows different configurations of charge distribution. List - II gives the corresponding total electrostatic energy of the configuration or the corresponding work done. List - I List - II (P)

Question

List - I shows different configurations of charge distribution. List - II gives the corresponding total electrostatic energy of the configuration or the corresponding work done.

List - I	List - II
(P) Four point charges are kept at the vertices of a regular tetrahedron of side R. Total electrostatic energy of the configuration.	(1) $\frac{6 k q ^{2}}{R}$
(Q) Two thin spherical uniformly charged shells having charge q are separated by distance 4R. Total electrostatic energy of the configuration.	(2) $\frac{6 k q ^{2}}{R} (\frac{9}{40})$
(R) A solid non-conducting sphere of radius R having uniform charge q is kept inside a thin spherical non-conducting shell of radius 2R having uniform charge q. Total electrostatic energy of the configuration.	(3) $\frac{6 k q ^{2}}{6 R}$
(S) Work done in contracting the sphere having uniform charge.	(4) $\frac{6 k q ^{2}}{40 R} (3)$
	(5) None

TestHub · Accepted Answer

Use self-energy and pair-interaction energy for each charge distribution.

Tetrahedron: six pairs, giving P → 1.

Two shells separated by 4R give Q → 3.

Concentric solid sphere and shell give R → 2.

The contraction work gives S → 4.

Hence option D.

Physics - Electrostatics Question with Solution | TestHub

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