Two identical strings $X$ and $Z$ made of same material have tension $T _{ x }$ and $T _{ z }$ in them. If their fundamental frequencies are $450\, Hz$ and $300\, Hz ,$ respectively, then the ratio $T _{ x } / T _{ z }$ is$.....$
JEE MAIN 2020, Medium
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$f =\frac{1}{2 \ell} \sqrt{\frac{ T }{\mu}}$
For identical string $l$ and $\mu$ will be same
$f \propto \sqrt{ T }$
$\frac{450}{300}=\sqrt{\frac{T_{x}}{T_{y}}}$
$\frac{T_{x}}{T_{y}}=\frac{9}{4}=2.25$
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