Match the entries on left side with entries on right side. Three identical metal plates with large surface areas are kept parallel to each other as shown in figure. The left most is given a charge Q,

Question

Match the entries on left side with entries on right side. Three identical metal plates with large surface areas are kept parallel to each other as shown in figure. The left most is given a charge Q, the right most a charge -2Q and the middle one remains neutral. Then

List - I	List - II
(I) The charge appearing on outer surface of right most plate is	(P) $+ \frac{Q}{2}$
(II) The charge appearing on outer surface of left most plate is	(Q) $- \frac{Q}{2}$
(III) The charge appearing on left surface of middle plate is	(R) $- \frac{3 Q}{2}$
(IV) The charge appearing on right surface of middle plate is	(S) $\frac{3 Q}{2}$
	(T) +Q

TestHub · Accepted Answer

The two outer surfaces share the total charge equally: $\frac{Q + 0 - 2 Q}{2} = - \frac{Q}{2}$ each, so the outer surfaces of both the right most and the left most plate carry $- \frac{Q}{2}$ - I → Q and II → Q.

The inner face of the left plate then carries $Q + \frac{Q}{2} = \frac{3 Q}{2}$ , inducing $- \frac{3 Q}{2}$ on the left surface of the middle plate (III → R) and $+ \frac{3 Q}{2}$ on its right surface (IV → S).

Option (D).

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