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JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

For spheres each of mass and radius , placed with their centres on the four corners of a square of side : spheres and are hollow, and are solid. The moment of inertia of the system about side of the square is

Answer: (C)

Solution

and lie on the axis (distance 0 from axis), so their own-diameter MOI contributes directly: , . and are at perpendicular distance from axis : (hollow, parallel axis),

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Question ID VK-158474