Two discs of moment of inertia I₁ and I₂ and angular speeds ${\omega }_1$ and ${\omega }_2$ are rotating along collinear axes passing through their center of mass and perpendicular to their plane. If the two are made to rotate together along the same axis the rotational KE of system will be

A boy stands over the centre of a horizontal platform which is rotating freely with a speed of 2 revolutions/s about a vertical axis through the centre of the platform and straight up through the boy. He holds 2 kg masses in each of his hands close to his body. The. combined moment of inertia of the system is 1 kg$\times$metre². The boy now stretches his arms so as to hold the masses far from his body. In this situation, the moment of inertia of the system increases to 2kg$\times$metre². The kinetic energy of the system in the latter case as compared with that in the previous case will