Question

Consider the following two statements A and B and identify the correct choice:
A) The rotational kinetic energy of a rolling body is always greater than its translational kinetic energy.
B) The maximum value of radius of gyration of a rolling body cannot be greater than the radius of that body.

• A. A is true but B is false
• B. A is false but B is true
• C. Both A and B are true
• D. Both A and B are false

Answer 1

The correct option is B A is false but B is true

Rotational KE. of a rolling body depends on the $\text{numerical coefficient}$ of its moment of inertia and is proportional to it.Ratio of both energies is in the ratio of 1:C where C is the numerical coefficient of moment of inertia of the rolling body.
$I=m{k}^2$
$k=\sqrt{\frac{I}{m}}$
$k=$radius of gyration.