The equation of a simple harmonic progressive | vedclass

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(A) The given equation of the wave is $y=A \sin (100 \pi t-3 x)$.Comparing this with the standard wave equation $y=A \sin (\omega t-kx)$,we get the wa

Vedclass · Accepted Answer

$\frac{\pi}{9} \ m$

Vedclass · Answer

(A) The given equation of the wave is $y=A \sin (100 \pi t-3 x)$.Comparing this with the standard wave equation $y=A \sin (\omega t-kx)$,we get the wave number $k=3 \ m^{-1}$.The relationship between phase difference $(\Delta \phi)$ and path difference $(\Delta x)$ is given by $\Delta \phi = k \cdot \Delta x$.Given the phase difference $\Delta \phi = \frac{\pi}{3}$.Substituting the values,we have $\frac{\pi}{3} = 3 \cdot \Delta x$.Solving for the distance $\Delta x$,we get $\Delta x = \frac{\pi}{3 	imes 3} = \frac{\pi}{9} \ m$.

The equation of a simple harmonic progressive wave is given by $y=A \sin (100 \pi t-3 x)$. Find the distance between $2$ particles having a phase difference of $\frac{\pi}{3}$.

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