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Consider two uniform discs of the same thickness and different radii $R_1 = R$ and $R_2 = \alpha R$ made of the same material. If the ratio of their moments of inertia $I_1$ and $I_2$, respectively, about their axes is $I_1 : I_2 = 1 : 16$ then the value of $\alpha$ is:
(1) $2\sqrt{2}$
(2) $\sqrt{2}$
(3) 2
(4) 4
BETA
