Question

Consider the following two statements A and B and identify the correct choice.
A) Moment of inertia of circular plate is minimum about its natural axis.
B) Inertia of rotation of a rotating body is proportional to its angular momentum.

• 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 A A is true but B is false

Since the x and y axis are identical, so by symmetry they must have equal moments of inertia.

$\text{Moment of Inertia}$ doesn't depend upon the $\text{angular momentum}$as it is a property of the body and for a circular plate it is minimum about the diameter. In case 1 most of the mass is on one side of the axis so inertia is maximum from that axis.