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 are I 1 and I 2 respectively. If I 2 = 4 I 1 , then r 2 r 1 equals

Question

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 are I 1 and I 2 respectively. If I 2 = 4 I 1 , then r 2 r 1 equals, 4 2 3, 4 1 3, 4 - 2 3, 4 - 1 3

MARKS App · Accepted Answer

Moment of inertia of a loop is, I = M r 2 = 2 π r A ρ r 2 Therefore I ∝ r 3 or r ∝ I 1 3 For the two loops r 2 r 1 = I 2 I 1 1 3 As I 2 = 4 I 1 r 2 r 1 = 4 1 1 3

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