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

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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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Topics: Motion of system of Particles and Rigid Body (73)
Subject: Physics (2479)

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