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  4. The correct graph between the frequency n and square root of density (ρ) of a wire, keeping its length, radius and tension constant, is

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Q. The correct graph between the frequency $n$ and square root of density $(\rho)$ of a wire, keeping its length, radius and tension constant, is

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Solution:

We know frequency $n=\frac{p}{2 l} \sqrt{\frac{T}{\pi r^{2} \rho}}$
$\Rightarrow n \propto \frac{1}{\sqrt{\rho}}$
i.e., graph between $n$ and $\sqrt{\rho}$ will be hyperbola.