Physics

Problem

Two identical transverse waves travel simultaneously along the positive

x

-direction on the same string:

y_1=0.03\sin(6x-120t)

y_2=0.03\sin(6x-120t+\tfrac{\pi}{2})

Displacements

y

are in metres,

x

in metres and

t

in seconds. a. (i) For the wave

y_1

, determine the wavelength, frequency, time–period and propagation speed. Also state its direction of travel. b. (ii) Obtain the phase difference between

y_1

and

y_2

at the point

x=1\,\text{m}

and time

t=0.20\,\text{s}

. c. (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.

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