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JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

From a circular ring of mass and radius , an arc corresponding to a 90° sector is removed. The moment of inertia of the remaining part of the ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is times . The value of is

Answer: (A)

Solution

Every mass element of a ring, regardless of its angular position, is at the same distance from the central axis, so for any arc

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Question ID VK-158502