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A thin circular plate of mass M and radius R has its density varying as ρ (r) = ρ 0 r with ρ 0 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 I = aMR 2 . The value of the coefficient a is -

1. 2 3
2. 2 1
3. 5 8
4. 5 3

Correct answer: 5 8

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