A wire under tension vibrates with a fundamental frequency of \( 600 \mathrm{~Hz} \). If the len...

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A wire under tension vibrates with a fundamental frequency of \( 600 \mathrm{~Hz} \). If the length of the wire is doubled, the radius is halved and the wire is made to vibrate under one-ninth of the tension, then the fundamental frequency will become
(a) \( 400 \mathrm{~Hz} \)
(b) \( 600 \mathrm{~Hz} \)
(c) \( 300 \mathrm{~Hz} \)
(d) \( 200 \mathrm{~Hz} \)
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