The equation of a transverse wave travelling along a string is $y(x, t)=4.0 \sin \left[20 imes 10^{-3} x+600 t ight] \mathrm{mm}$, where $x$ is in mm and $t$ is in second. The velocity of the wave is :

Question

The equation of a transverse wave travelling along a string is $y(x, t)=4.0 \sin \left[20 	imes 10^{-3} x+600 tight] \mathrm{mm}$, where $x$ is in mm and $t$ is in second. The velocity of the wave is :

Aicharya · Accepted Answer

$\begin{aligned} & k=20 	imes 10^{-3} \mathrm{~mm}^{-1}=20 \mathrm{~m}^{-1} \ & w=600 \mathrm{~s}^{-1} \ & v=\frac{W}{k}=\frac{600}{20}=30 \mathrm{~m} / \mathrm{s} \end{aligned}$ and $x \& t$ carry same sign Therefore $\mathrm{v}=-30 \mathrm{~m} / \mathrm{s}$

The equation of a transverse wave travelling along a string is $y(x, t)=4.0 \sin \left[20 \times 10^{-3}…

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