Two identical transverse waves travel simultaneously along the positive x-direction on the same string:
y1=0.03sin(6x−120t)y2=0.03sin(6x−120t+2π)
Displacements y are in metres, x in metres and t in seconds.
(i) For the wave y1, determine the wavelength, frequency, time–period and propagation speed. Also state its direction of travel.
(ii) Obtain the phase difference between y1 and y2 at the point x=1m and time t=0.20s.
(iii) At t=0, calculate the smallest separation along the x-axis between two points that are in the same phase on the two waves.