Two vibrating strings of the same material but lengths \( L \) and \( 2 L \) have radii \( 2 r \....

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Question Two vibrating strings of the same material but lengths \( L \) and \( 2 L \) have radii \( 2 r \) and \( r \) respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length \( L \) with frequency \( n_{1} \) and the other with frequency \( n_{2} \). The ratio \( n_{1} / n_{2} \) is given by
(A) 2
(B) 4
(C) 8
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