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JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

A thin uniform square lamina of side is placed in the -plane with its sides parallel to the - and -axes, and its centre coinciding with the origin. Its moment of inertia about an axis passing through a point on the -axis at a distance and parallel to the -axis is equal to its moment of inertia about an axis passing through a point on the -axis at a distance and perpendicular to the -plane. The value of is

Answer: (B)

Solution

, so by parallel axis, the axis at parallel to : . For the perpendicular (z-direction) axis through the centre, (sum of the two in-plane

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Question ID VK-158463