Physics

Problem

Four identical thin, square metal sheets,

S_1

S_2

S_3

and

S_4

, each of side

a

are kept parallel to each other with equal distance

d

(

\ll a

) between them, as shown in the figure. Let

C_0=\epsilon_0 a^2/d

, where

\epsilon_0

is the permittivity of free space. Match the quantities mentioned in List-I with their values in List-II and choose the correct option.

	List-I		List-II
(P)	The capacitance between $S_1$ and $S_4$ , with $S_2$ and $S_3$ not connected, is	(1)	$3C_0$
(Q)	The capacitance between $S_1$ and $S_4$ , with $S_2$ shorted to $S_3$ , is	(2)	$C_0/2$
(R)	The capacitance between $S_1$ and $S_3$ , with $S_2$ shorted to $S_4$ , is	(3)	$C_0/3$
(S)	The capacitance between $S_1$ and $S_2$ , with $S_3$ shorted to $S_1$ , and $S_2$ shorted to $S_4$ , is	(4)	$2C_0/3$
		(5)	$2C_0$

![](https://storage.googleapis.com/diraq-contents/PROD/homework-question-parsing/marker/99ba3779b8664c0682ad6d642ee8a833/56a7fc5964ed9463fa47ca8a60568dec_img.jpg) &emsp;(A)

P\rightarrow 3;\ Q\rightarrow 2;\ R\rightarrow 4;\ S\rightarrow 5

<br>&emsp;(B)

P\rightarrow 2;\ Q\rightarrow 3;\ R\rightarrow 2;\ S\rightarrow 1

<br>&emsp;(C)

P\rightarrow 3;\ Q\rightarrow 2;\ R\rightarrow 4;\ S\rightarrow 1

<br>&emsp;(D)

P\rightarrow 3;\ Q\rightarrow 2;\ R\rightarrow 2;\ S\rightarrow 5

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