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ExamsJEE AdvancedGeneral

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 (<< a) between them, as shown in the figure. Let C 0 =  0 a 2 /d, where   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-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

  1. P  3; Q  2; R  4; S  5
  2. P  2; Q  3; R  2; S  1
  3. P  3; Q  2; R  4; S  1
  4. P  3; Q  2; R  2; S  5

Correct answer: P  3; Q  2; R  4; S  1

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