Figure given shows a sinusoidal wave on a string. If the frequency of the wave is $150\, Hz$, what is the wavelength and velocity of the given wave ?
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Given : Frequency of the wave, $v=150 \mathrm{\,Hz}$
From the figure
$\frac{5}{2}\lambda = 20\,\,cm$
$\therefore $ Wavelength of the wave, $\lambda=\frac{40}{5} \mathrm{\,cm}=8 \mathrm{\,cm}$
$=8 \times 10^{-2} \mathrm{\,cm}=0.08 \mathrm{\,m}$
Velocity of the wave $v=v \lambda$
$=\left(150 \,s^{-1}\right)\left(8 \times 10^{-2} \mathrm{\,m}\right)=12 \mathrm{\,ms}^{-1}$
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