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JEE Advanced2024PhysicsCapacitanceActual

Four identical thin, square metal sheets, S₁, S₂, S₃ and S₄ , each of side a are kept parallel to each other with equal distance d( a) between them, as shown in the figure. Let C₀= ₀ a^2 / d , where 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.

Options

  1. AP 3 ; Q 2 ; R 4 ; S 5
  2. BP 2 ; Q 3 ; R 2 ; S 1
  3. CP 3 ; Q 2 ; R 4 ; S 1
  4. DP 3 ; Q 2 ; R 2 ; S 5

Correct answer

C. P 3 ; Q 2 ; R 4 ; S 1

Step-by-step solution

For P All are in series ( gathered C_ e q = C₀ 3 P (3) gathered ) For Q ( gathered C_ e q = C₀ 2 Q (2) gathered ) For R ( gathered C_ e q = 2 C 3 R (4) gathered ) For S ( aligned & C_ e q =3 C₀ & S (1) aligned )

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