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A wire of len...

Question

A wire of length 2.00 m is stretched to a tension of 160 N. If the fundamental frequency of vibration is 100 Hz, find its linear mass density.

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Solution

Given:
$l = 2 m, f_{0} = 100 H z, T = 160 N$

$f_{0} = \frac{1}{2 l} \sqrt{\frac{T}{m}}$

$\Rightarrow m = 1 g / m$ .
So, the linear mass density is $1 g / m .$

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Standard XII Physics