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QJEEAdv24Ph3503: JEE Advanced 2024 Physics - Class 12 JEEAdv24Ph3503 Solution: Four identical thin, square metal sheets, and , each of side…

Four identical thin, square metal sheets, S1,S2,S3S_1, S_2, S_3 and S4S_4 , each of side aa are kept parallel to each other with equal distance d(≪a)d(\ll a) between them, as shown in the figure. Let C0=ε0a2d{C_0} = {{{\varepsilon _0}{a^2}} \over d} , where ε0\varepsilon_0 is the permittivity of free space.

JEE Advanced 2024 Paper 1 Online Physics - Capacitor Question 1 English

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 S1S_1 and S4S_4 , with S2S_2 and S3S_3 not connected, is (1) 3C03C_0
(Q) The capacitance between S1S_1 and S4S_4 , with S2S_2 shorted to S3S_3 , is (2) C02\frac{C_0}{2}
(R) The capacitance between S1S_1 and S3S_3 , with S2S_2 shorted to S4S_4 , is (3) C03\frac{C_0}{3}
(S) The capacitance between S1S_1 and S2S_2 , with S3S_3 shorted to S1S_1 , and S2S_2 shorted to S4S_4 , is (4) 2C03\frac{2C_0}{3}
(5) 2C02C_0

Multiple Choice Options

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

Step-by-Step Verified Solution

JEE Advanced 2024 Paper 1 Online Physics - Capacitor Question 1 English Explanation 1 JEE Advanced 2024 Paper 1 Online Physics - Capacitor Question 1 English Explanation 2 JEE Advanced 2024 Paper 1 Online Physics - Capacitor Question 1 English Explanation 3 JEE Advanced 2024 Paper 1 Online Physics - Capacitor Question 1 English Explanation 4 JEE Advanced 2024 Paper 1 Online Physics - Capacitor Question 1 English Explanation 5

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