MHT CET 2024 Physics question

PhysicsElectric Charges and FieldsMHT CET 2024

Consider a long uniformly charged cylinder having constant volume charge destiny '' and radius 'R'. A Gaussian surface is in the form of a cylinder of radius 'r' such that vertical axis of both the cylinders coincide. For a point inside the cylinder (r < R), electric field is directly proportional to

Answer: (B)

Solution

Take a coaxial Gaussian cylinder of radius and length . The enclosed charge is (volume charge density ). By symmetry the flux goes through the curved surface only: , so

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Question ID VK-098893