A B C is right angled triangular plane of uniform thickness. The sides are such that A B B C as shown in figure. I₁, I₂, I₃ are moments of inertia about A B, B C and A C , respectively. Then which of the following relations is correct?

Step-by-step solution

The moment of inertia of a body about an axis depends not only on the mass of the body but also on the distribution of mass about the axis. For a given body mass is same, so it will depend only on the distribution of mass about the axis. The mass is farthest from axis B C , so I₂ is maximum mass is nearest to axis A C , so I₃ is minimum. Hence, the correct sequence will be I₂ I₁ I₃