Four identical thin, square metal sheets, S_1, S_2, S_3 and S_4 ,...

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. 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

Match the quantities mentioned in List-I with their values in List-II and choose the correct option. 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

Options

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

Correct answer

C. $\mathrm{P} \rightarrow 3 ; \mathrm{Q} \rightarrow 2 ; \mathrm{R} \rightarrow 4 ; \mathrm{S} \rightarrow 1$

Step-by-step solution

For P

All are in series (\begin{gathered} C_{e q}=\frac{C_0}{3} \\ P \rightarrow(3) \end{gathered}) For Q 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

(\begin{gathered} C_{e q}=\frac{C_0}{2} \\ Q \rightarrow(2) \end{gathered}) For R 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

(\begin{gathered} C_{e q}=\frac{2 C}{3} \\ R \rightarrow(4) \end{gathered}) For S 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

\begin{aligned} & \Rightarrow C_{e q}=3 C_0 \\ & S \rightarrow(1) \end{aligned}

Practice Capacitance on Quantrex Academy →

More from Capacitance

Passage: A container of height 2 m, length 2 m and breadth 1 m is made of insulating… JEE Advanced 2026 A parallel plate capacitor is having separation between plates 0.885 mm. It has a… JEE Main 2026 A sphere of capacitance 100 pF is charged to a potential of 100 V. Another identical… JEE Main 2026 From the circuit given below, the capacitance between terminals A and B shown in the… JEE Main 2026 A parallel plate air capacitor is connected to a battery. The plates are pulled apart at… JEE Main 2026 Consider a circuit consisting of a capacitor ( 20\ μ F), resistor ( 100\ Ω ) and two… JEE Main 2026 The dimensional formula of (1)/(2)ε_0 E^2 ( ε_0 = permittivity of vacuum and E = electric… JEE Main 2026 A parallel plate air capacitor has a capacitance C . When it is half filled as show in… JEE Main 2026 Full Capacitance list All JEE Advanced PYQs