JEE Advanced 2009 Physics question

PhysicsElectric Charges and FieldsJEE Advanced 2009

A solid sphere of radius R has a charge Q distributed in its volume with a charge density , where κ and a are constants and r is the distance from its centre. If the electric field at is times that at r = R, find the value of a.

Answer: 2

Solution

Charge within radius r: . By Gauss's law $E(r) =

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Question ID VK-037786