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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 $$C_0 = \varepsilon_0 a^2/d$$, 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) | $$3C_0$$ |
| (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) | $$2C_0$$ |
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