Two identical strings


Two identical strings $X$ and $Z$ made of same material have tension $\mathrm{T}_{\mathrm{X}}$ and $\mathrm{T}_{\mathrm{Z}}$ in them. It their fundamental frequencies are $450 \mathrm{~Hz}$ and $300 \mathrm{~Hz}$, respectively, then the ratio $\mathrm{T}_{\mathrm{X}} / \mathrm{T}_{\mathrm{Z}}$ is :



  1. $0.44$

  2. $1.5$

  3. $2.25$

  4. $1.25$

Correct Option: , 3


$\mathrm{f}=\frac{1}{2 \ell} \sqrt{\frac{\mathrm{T}}{\mu}}$

For identical string $l$ and $\mu$ will be same

$f \propto \sqrt{T}$



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