Q

# 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

$(b)\; 0.5\; m$

Views

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

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

Exams
Articles
Questions