MHT CET 2023 Physics question

PhysicsSystems of Particles and Rotational MotionMHT CET 2023

A thin wire of length 'L' and uniform linear mass density 'm' is bent into a circular coil. The moment of inertia of this coil about tangential axis and in the plane of the coil is

Answer: (B)

Solution

The mass of the ring is (linear density times length) and its radius follows from , so . Moment of inertia of a ring about a diameter is . By the parallel axis theorem, about a tangent in the plane of the ring: $I =

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Question ID VK-097216