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Q.
The equation of sound wave is $y=0.0015 \, sin\left(\right.62.4x+316t \, \left.\right)$ . The wavelength of this wave is
NTA AbhyasNTA Abhyas 2020Waves
Solution:
Sound wave equation is,
$y=0.0015\,sin\left(\right.62.4x+316t\left.\right)$
Standard equation of wave motion is,
$\text{y} = \text{A sin } 2 \pi \left[\frac{\text{x}}{\lambda } + \frac{\text{t}}{\text{T}}\right]$
Comparing the given equation with the standard equation, we get
$\frac{2 \pi }{\lambda }=62.4$
or, the wavelength of the wave, $\lambda =\frac{2 \pi }{62 . 4}=0.1\,unit$