JEE Main 2019 Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main 2019

A thin circular plate of mass M and radius R has its density varying as with as constant and r is the distance from its center. The moment of inertia of the circular plate about an axis perpendicular to the plate and passing through its edge is . The value of the coefficient a is:

Answer: (C)

Solution

, $ = 2πρ_0

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Question ID VK-009208