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Capacitor question

2024 · Shift 1 · Q49
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  5. /2024 · Shift 1 · Q49

Capacitor question

2024 · Shift 1 · Q49

JEE AdvancedPhysicsCapacitorMCQ+3 / −1

Four identical thin, square metal sheets, S1,S2,S3S_1, S_2, S_3S1​,S2​,S3​ and S4S_4S4​, each of side aaa are kept parallel to each other with equal distance d(≪a)d(\ll a)d(≪a) between them, as shown in the figure. Let C0=ε0a2d{C_0} = {{{\varepsilon _0}{a^2}} \over d}C0​=dε0​a2​, where ε0\varepsilon_0ε0​ 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_1S1​ and S4S_4S4​, with S2S_2S2​ and S3S_3S3​ not connected, is (1) 3C03C_03C0​
(Q) The capacitance between S1S_1S1​ and S4S_4S4​, with S2S_2S2​ shorted to S3S_3S3​, is (2) C02\frac{C_0}{2}2C0​​
(R) The capacitance between S1S_1S1​ and S3S_3S3​, with S2S_2S2​ shorted to S4S_4S4​, is (3) C03\frac{C_0}{3}3C0​​
(S) The capacitance between S1S_1S1​ and S2S_2S2​, with S3S_3S3​ shorted to S1S_1S1​, and S2S_2S2​ shorted to S4S_4S4​, is (4) 2C03\frac{2C_0}{3}32C0​​
(5) 2C02C_02C0​
  1. A
    P→3;Q→2;R→4;S→5\mathrm{P} \rightarrow 3 ; \mathrm{Q} \rightarrow 2 ; \mathrm{R} \rightarrow 4 ; \mathrm{S} \rightarrow 5P→3;Q→2;R→4;S→5
  2. B
    P→2;Q→3;R→2;S→1\mathrm{P} \rightarrow 2 ; \mathrm{Q} \rightarrow 3 ; \mathrm{R} \rightarrow 2 ; \mathrm{S} \rightarrow 1P→2;Q→3;R→2;S→1
  3. C
    P→3;Q→2;R→4;S→1\mathrm{P} \rightarrow 3 ; \mathrm{Q} \rightarrow 2 ; \mathrm{R} \rightarrow 4 ; \mathrm{S} \rightarrow 1P→3;Q→2;R→4;S→1
  4. D
    P→3;Q→2;R→2;S→5\mathrm{P} \rightarrow 3 ; \mathrm{Q} \rightarrow 2 ; \mathrm{R} \rightarrow 2 ; \mathrm{S} \rightarrow 5P→3;Q→2;R→2;S→5
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