Question

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

Answer 1

$L=2m,f_0=100Hz,T=160N$

$f_0=\frac{1}{2L}\sqrt{\left(\frac{T}{m}\right)}$

$\Rightarrow 100=\left(\frac{1}{4}\right)\sqrt{\left(\frac{160}{m}\right)}$

$\Rightarrow m=1\times {10}^{-3}kg/m$

$\Rightarrow m=1g/m$

So, the linear mass density is 1 gm/m.