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Q.15.10 (d) For the travelling harmonic wave

 y(x,t)=2.0\; \cos 2\pi (10t-0.0080\; x+0.35)

where x and y are in cm and t in s. Calculate the phase difference between the oscillatory motion of two points  separated by a distance of (d)3\lambda /4

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The phase difference between two points separated by a distance of \\\Delta x is given by

\\\Delta \phi =\frac{2\pi }{\lambda }\Delta x

Phase difference for two points separated by a distance of \frac{3\lambda }{4} would be

\\\Delta \phi =\frac{2\pi }{\lambda }\times \frac{3\lambda }{4}\\ \Delta \phi =\frac{3\pi }{2}\ rad

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Sayak

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