Two discs of same material and thickness have radii 0.2 m and 0.6 m.

Two Discs Of Same Material And Thickness Have Radii 02 Physics QuestionTwo Discs Of Same Material And Thickness Have Radii 02 Physics Question

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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