Two circular loops A and B of radii ′ R ′ and ' NR ′ respectively are made from a uniform wire. Moment of inertia of B about its axis is 3 times that of A about its axis. The value of N is

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(D) If m is the mass per unit length of the wire, then mass of loop A = M A ​ = 2 π Rm mass of loop B = M B ​ = 2 π NRm ∴ M A ​ M B ​ ​ = N I A ​ = M A ​ R 2 , I B ​ = M B ​ ( NR ) 2 = M B ​ N 2 R 2 ∴ I A ​ I B ​ ​ = M A ​ M B ​ N 2 ​ = N 3 ∴ 3 = N 3 ∴ N = ( 3 ) 3 1 ​

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