Physics System of Particles Rotational Motion Karnataka - CET Previous Year Question MCQ (Single Correct)

Moment of inertia of a thin uniform rod rotating about the perpendicular axis passing through its centre is . If the same rod is bent into a ring and its moment of inertia about its diameter is , then the ratio is

A
B

C
D

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The correct answer is:
D

: Let be the mass of the rod and be its length. Then

When the same rod is bent into the ring of radius , then

Its moment of inertia about its diameter is

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