Home Maths JEE - Advanced Previous Year Paper JEE-Advanced-2023-Paper-1 A container has a base of 50 cm x 5 cm and h…
Maths JEE - Advanced Previous Year Paper JEE-Advanced-2023-Paper-1 Single Correct MCQ
Published on: August 13, 2026

A container has a base of 50 cm x 5 cm and height 50 cm, as shown in the figure. It has two parallel electrically conducting walls each of area 50 cm x 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 = 9 x 10 -12 C 2 N -1 m -2 , the effects of the non-conducting walls on the capacitance are negligible]

A
27pF
B
63pF
C
81 pF
D
135pF

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Text Solution

Verified by Experts
The correct answer is:
B

In t = 10 sec volume of liquid is

V = 2500 cc

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