The wave function for a harmonic wave travelling in the positive xdirection with amplitude A, angular frequency w and wave number k is y1 = A sin (kxwt). The wave interferes with another harmonic wave travelling in the same direction with the same amplitude, frequency and wave number, but with a phase difference I?. By using the principle of superposition, obtain an expression for the wave function of the resultant wave and show its amplitude is 2Acos1/2s. If each wave has an amplitude of 6 cm and they differ in phase by pi/2, what is the amplitude of the resultant wave? For what phase differences would the resultant amplitude be equal to 6 cm? Describe the effects that would be heard if the two waves were sound waves, but with slightly different frequencies. How could you determine the differ ence between the frequencies of the two harmonic sound sources? [you may use the result si
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