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Capacitor question

2023 · Shift 1 · Q39
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  5. /2023 · Shift 1 · Q39

Capacitor question

2023 · Shift 1 · Q39

JEE AdvancedPhysicsCapacitorMCQ+3 / −1
A container has a base of 50 cm×5 cm50 \mathrm{~cm} \times 5 \mathrm{~cm}50 cm×5 cm and height 50 cm50 \mathrm{~cm}50 cm, as shown in the figure. It has two parallel electrically conducting walls each of area 50 cm×50 cm50 \mathrm{~cm} \times 50 \mathrm{~cm}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 cm3 s−1250 \mathrm{~cm}^3 \mathrm{~s}^{-1}250 cm3 s−1. What is the value of the capacitance of the container after 10 seconds? [Given: Permittivity of free space ϵ0=9×10−12C2 N−1 m−2\epsilon_0=9 \times 10^{-12} \mathrm{C}^2 \mathrm{~N}^{-1} \mathrm{~m}^{-2}ϵ0​=9×10−12C2 N−1 m−2, the effects of the non-conducting walls on the capacitance are negligible] JEE Advanced 2023 Paper 1 Online Physics - Capacitor Question 2 English
  1. A
    27 pF27 ~\mathrm{pF}27 pF
  2. B
    63 pF63 ~\mathrm{pF}63 pF
  3. C
    81 pF81 ~\mathrm{pF}81 pF
  4. D
    135 pF135 ~\mathrm{pF}135 pF
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