If the temperature of a uniform rod is slightly increased by Δt, its moment of inertia I about a line parallel to itself will increase by

The moment of inertia of uniform rod is

Where,

I is the moment of inertia

M is the mass of the rod,

L is the length of the rod,

Where,

L’ is the new length of the rod after thermal expansion.

Putting it in the above relation, we get

Hence, option C is the correct option