Suppose two bodies possess an identical geometrical shape, with the first being made of aluminium and the second of iron. If their moments of inertia are denoted by I₁ and I₂ respectively, then

Step-by-step solution

The moment of inertia of a body is given by I = r^2 dm = r^2 dV , where is the density of the material and dV is the volume element. Since both bodies have identical geometrical shapes, the integral r^2 dV is the same for both. Therefore, the moment of inertia is directly proportional to the density of the material, I . The density of aluminium is less than the density of iron, _ Al Hence, the moment of inertia of the aluminium body is less than that of the iron body, which gives I₁ < I₂ .