Question

Let IA and IB be moments of inertia of a body about two axes A and B respectively. The axis A passes through the center of mass of the body but B does not.
(a) IA < IB
(b) If IA < IB, the axes are parallel
(c) If the axes are parallel, IA < IB
(d) If the axes are not parallel, IA ≥ IB.

Answer 1

option 3 i guess please tell me its answer

Answer 2

Well option (c) is the right answer, because if the axes are parallel, we use the formula:

Io = Icm + md^2

For the first body the distance between the axis and the axis passing through C.O.M is 0 therefore Io = Icm + m(0)^2 = lcm, because mentioned in question where as for the second body it is not passing through the C.O.M therefore, there is some distance between the axes, say 'd', so Io = Icm + md^2