AIPMT PRELIMS2003Physics-Rotational Motion

AIPMT PRELIMS 2003 Physics Energy MCQ Question

Type: MCQ-conceptual-Medium-Class 11

A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is K. If radius of the ball be R, then the fraction of total energy associated with its rotational energy will be :

A

(K² + R²)/R²

B

K²/R²

C

K²/(K² + R²)

D

R²/(K² + R²)

Correct Answer

Option C

Detailed Explanation

The rotational energy fraction is given by Iω²/(Iω² + 1/2 mv²), where I is the moment of inertia.

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