The displacement of particles in a certain sound wave is given by

PHYSICS · Multi-part · CBSE · Physics · Waves · Waves

Problem

y(x,t)=0.02\,\sin\,(4\pi x-200\pi t+\dfrac{\pi}{6})

, where

x

is in metres and

t

in seconds. (a) Determine the wavelength and frequency of the wave. (b) Calculate the phase difference between the particles located at

x=0.25\,\text{m}

and

x=0.55\,\text{m}

at the instant

t=0

. (c) For the particle at

x=0.25\,\text{m}

, find the smallest positive time after

t=0

when its displacement will be equal to the displacement of the particle at

x=0.55\,\text{m}

t=0