NEET2016Physics-Rotational Motion

NEET 2016 Physics Moment of Inertia MCQ Question

Type: MCQ-conceptual-Medium-Class 11

From a disc of radius R and mass M, a circular hole of diameter R, whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis, passing through the centre?

A

11 MR²/32

B

9 MR²/32

C

15 MR²/32

D

13 MR²/32

Correct Answer

Option D

Detailed Explanation

The moment of inertia of the entire disc is MR²/2. The moment of inertia of the removed part is (MR²/8) + (MR²/32) = 5MR²/32. Subtracting this from the whole disc gives 11MR²/32.

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