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