Physics - Wave on String Question with Solution | TestHub

Speed of sound in a stretched string

$v=\sqrt{\frac{T}{\mu }} \dots \left(i\right)$

Where T is the tension and$\mu$is mass per unit length.

According to Hooke's law,$F\propto x$

$T\propto x \dots \left(ii\right)$

From Eqs. (i) and (ii)

$v\propto \sqrt{x}$

$v^{\mathrm{\prime }}=\sqrt{1.5}v=1.22\mathrm{ }v$