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Q.

From a given sample of uniform wire, two circular loops P and Q are made, P of radius r and Q of radius nr. If the M.I. of Q about its axis is four times that of P about its axis (assuming the wire to be of diameter much smaller than either radius), the value of n is

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a

(4)23

b

(4)13

c

(4)12

d

(4)14

answer is B.

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Detailed Solution

Given thatIQ=41P, Here I = mass x (radius)2. If s is the linear mass density (mass/ length) of the wire, σ× 2πnr × n2r2= 4(σ× 2πr × r2)⇒n3= 4
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From a given sample of uniform wire, two circular loops P and Q are made, P of radius r and Q of radius nr. If the M.I. of Q about its axis is four times that of P about its axis (assuming the wire to be of diameter much smaller than either radius), the value of n is