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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 4 times that of P about its axis (assuming wire diameter much smaller than either radius of the loops), 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

MOMENT OF INERTIA OF A RING =MR2=(λ2πR)R2=λ2πR3λ is mass per unit length of wireTHEREFORE IQIP=RQ3RP3=n31n3=4⇒n=41/3
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