A transverse wave travelling in the positive -direction on a wire has the form

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

Problem

A transverse wave travelling in the positive

x

-direction on a wire has the form

y=3.0\,\text{mm}\,\sin\,(\frac{2\pi}{0.40}\,x-\frac{2\pi}{0.020}\,t)

, where

x

is in metres and

t

in seconds. (i) Calculate the wavelength and the frequency of the wave. (ii) At a fixed position

x=1.00\,\text{m}

, the displacement is measured at two instants separated by

0.0025\,\text{s}

. Determine the phase difference between the two observations. (iii) State clearly whether the particle at

x=1.00\,\text{m}

is found to be at identical, opposite, or some other phase in the two observations. Justify your answer numerically.