If tension in a wire is made four times, then what will be the change in speed of wave propagating in it ?
If tension in a wire is made four times, then what will be the change in speed of wave propagating in it ?
Wave speed in the wire is $v=\sqrt{\frac{\mathrm{T}}{\mu}}$
$\therefore \quad v \propto \sqrt{\mathrm{T}} \Rightarrow \frac{v_{1}}{v_{2}}=\sqrt{\frac{\mathrm{T}_{1}}{\mathrm{~T}_{2}}}$
$\therefore \frac{v_{1}}{v_{2}}=\sqrt{\frac{\mathrm{T}_{1}}{4 \mathrm{~T}_{1}}} \Rightarrow v_{2}=2 v_{1}$
$\therefore$ Wave speed will become doubled.
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