Verified Solution • 2025–26 Session moderate

QAIPMT-2003-Ph-2729: NEET 2003 Physics - Class 11 AIPMT-2003-Ph-2729 Solution: A ball rolls without slipping. The radius of gyration of the…

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

Multiple Choice Options

A $\frac{K^2+R^2}{R^2}$
B $\frac{K^2}{R^2}$
C $\frac{K^2}{K^2+R^2}$
D $\frac{R^2}{K^2+R^2}$

Step-by-Step Verified Solution

Rotational energy = 1 2 I ( _ ) 2 = 1 2 ( m K 2 ) _ 2 Linear kinetic energy = 1 2 m _ 2 R 2 _ Required fraction = 1 2 ( m K 2 ) _ 2 1 2 ( m K 2 ) _ 2 + 1 2 m _ 2 R 2 = K 2 K 2 + R 2

Related Learning Resources & Exam Preparation

NEET PYQ Question Bank

Browse year-wise authentic previous years' questions with solutions

Authentic CBT Mock Tests

Simulate official exam environment with live timer and percentile scoring