Question:
The percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by $4 \%$ will be_____ $\%$
Solution:
(2)
Speed of transverse wave is $V=\sqrt{\frac{T}{\mu}}$
$\frac{\Delta n}{v}=\frac{1}{2} \ell n T-\frac{1}{2} \ell n \mu$
$\frac{\Delta v}{v}=\frac{1}{2} \frac{\Delta T}{T}$
$=\frac{1}{2} \times 4$
$\frac{\Delta v}{v}=2 \%$
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