Laws of MotionHard
Question
Two solid spheres are made of the same material. The ratio of their diameters is 1 : 2. The ratio of their moments of inertia about their respective diameters is :-
Options
A.1 : 1
B.1 : 4
C.1 : 16
D.1 : 32
Solution
Moment of inertia of solid sphere I = 
mr2
I =
× (
πr3)ρ × r2 = 
πr5ρ
If density is constant I ∝ r5
mr2I =
× (πr3)ρ × r2 = πr5ρIf density is constant I ∝ r5
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