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 $d( < < a)$ between them, as shown in the figure. Let $C_0 = \varepsilon_0 a^2 / d$, where $\varepsilon_0$ 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$(1)$ $3 C_0$
$(Q)$ 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$(4)$ $2 C_0 / 3$
$(5)$ $2 C_0$

  • A
    $P \rightarrow 3; Q \rightarrow 2; R \rightarrow 4; S \rightarrow 5$
  • B
    $P \rightarrow 2; Q \rightarrow 3; R \rightarrow 2; S \rightarrow 1$
  • C
    $P \rightarrow 3; Q \rightarrow 2; R \rightarrow 4; S \rightarrow 1$
  • D
    $P \rightarrow 3; Q \rightarrow 2; R \rightarrow 2; S \rightarrow 5$

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