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

Step-by-step solution

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