Physics

Problem

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: a.

2\sqrt{2}

\sqrt{2}

c. 2 d. 4