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For the travelling harmonic wave where x and y are in cm and t in s. Calculate the phase difference between oscillatory motion of two points separated by a distance of : 0.5 m

Q.15.10 (b) 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 oscillatory motion of two points separated by a distance of

(b)\; 0.5\; m

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S Sayak

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

\\\Delta \phi =k\Delta x

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

k=2\pi \times 0.008\ cm^{-1}

Phase difference for two points separated by a distance of 0.5 m would be

\\\Delta \phi =2\pi \times 0.0080\times 0.8\times 100\\ \Delta \phi=0.8\pi \ rad

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