JEE Advanced 2020 Physics question

PhysicsElectric Charges and FieldsJEE Advanced 2020

A circular disc of radius carries surface charge density , where is a constant and is the distance from the center of the disc. Electric flux through a large spherical surface that encloses the charged disc completely is . Electric flux through another spherical surface of radius and concentric with the disc is . Then the ratio is .

Answer: 6.4

Solution

By Gauss's law the flux is proportional to the enclosed charge, so . Charge within radius : . For : $ =

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Question ID VK-033749