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ExamsJEE AdvancedGeneral

A container has a base of 50 cm × 5 cm and height 50 cm, as shown in the figure. It has two parallel electrically conducting walls each of area 50 cm × 50 cm. The remaining walls of the container are thin and non - conducting. The container is being filled with a liquid of dielectric constant 3 at a uniform rate of 250 cm 3 s −1 . What is the value of the capacitance of the container after 10 seconds? [Given: Permittivity of free space  0 = 9 × 10 −12 C 2 N −1 m −2 , the effects of the non - conducting walls on the capacitance are negligible]

  1. 27 pF
  2. 63 pF
  3. 81 pF
  4. 135 pF

Correct answer: 63 pF

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