Two loops P and Q are made from a uniform wire. The radii of P and Q are R 1 and R 2 , respectively, and their moments of inertia about their axis of rotation are I 1 and I 2 , respectively. If I 2 I 1 = 4 , then R 2 R 1 is

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Correct answer: B. 4 1 3

I of loop = M R 2 = λ 2 π R . R 2 ( λ = linear mass density) = λ 2 π R 3 ⇒ I 1 = λ 2 π R 1 3 I 2 = λ 2 π R 2 3 m a d e u p o f s a m e w i r e I 2 I 1 = R 2 3 R 1 3 = 4 ⇒ R 2 R 1 = 4 1 3

Two loops P and Q are made from a uniform wire. The radii of P and Q are R 1 and R 2 , respectively, and their moments of inertia about their axis of rotation are I 1 and I 2 , respectively. If I 2 I 1 = 4 , then R 2 R 1 is

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