Two discs of same material and thickness have radii 0.2 m and 0.6 m. Their moments of inertia about their axes will be in the ratio
Options
(a) 1 : 81
(b) 1 : 27
(c) 1 : 9
(d) 1 : 3
Correct Answer:
1 : 81
Explanation:
I = (1/2) MR² = (1/2) (πR²t ρ) R² = πtρR⁴ / 2
t and p are same
I₁/I₂ = [R₁/R₂]⁴ = [0.2 / 0.6]⁴ = 1 / 81.
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