A transverse wave is travelling on a string with velocity 'V'. The extension in the string is ' $x^{\prime}$…
A transverse wave is travelling on a string with velocity 'V'. The extension in the string is ' $x^{\prime}$. If the string is extended by $50 \%$, the speed of the wave along the string
will be nearly (Hooke's law is obeyed)
$(0.7) \mathrm{V}$
$(1.22) \mathrm{V}$
$(1.1) \mathrm{V}$
$(0.9) V$
Solution
Speed of sound $\mathrm{V}=\sqrt{\frac{\mathrm{T}}{\mu}}$
$\mathrm{V} \propto \sqrt{\mathrm{T}}$
So $\frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}=\sqrt{\frac{1.5 \mathrm{x}}{\mathrm{x}}}$
So \(\mathrm{V}_2=1.22 \mathrm{~V}\)