From a given sample of uniform wire, two circular loops \( P \) and \( Q \) are made, \( P \) of...

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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 \( n r \). 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
(1) \( (4)^{\frac{2}{3}} \)
(2) \( (4)^{\frac{1}{3}} \)
(3) \( (4)^{\frac{1}{2}} \)
(4) \( (4)^{\frac{1}{4}} \)
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