Consider two uniform discs of the same thickness and different radii

PHYSICS · Single correct · A Level · Physics · Engineering physics · Engineering 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 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