A lamina is made by removing a small disc of diameter from a bigger disc of uniform mass density and radius , as shown in the figure. The moment of inertia of this lamina about axes passing through and is and , respectively. Both these axes are perpendicular to the plane of the lamina. The ratio to the nearest integer is

A lamina is made by removing a small disc of diameter from a bigger disc of uniform mass density and radius , as shown in the figure. The moment of inertia of this lamina about axes passing through and is and , respectively. Both these axes are perpendicular to the plane of the lamina. The ratio to the nearest integer is

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