JEE · NEET Previous Year Question

From a circular ring of mass and radius , an arc corresponding to a 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 . Then, the value of is [NEET 2021]

Topic: NEET PYQ

Answer: A. Full step-by-step solution below.

  1. A
  2. B
  3. C
  4. D

Correct answer: A

Solution

(a) An arc corresponding to a sector in the circular ring is removed, means one-fourth part of
circular ring is removed. Then, the mass of the removed circular ring,

Now the moment of inertia of the remaining part,

Comparing with
The value of .

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