Question 17.
You can use either the equation we derived at the end of class, or reasoning about the distance traveled by each wave. If the sources are close together, then the distance traveled by each wave will be similar, and the waves will have to travel a larger difference in distance in order to reach the path difference needed for constructive or destructive interference. This means the locations will be further apart when the sources are close together.
Problems:
44. The unknown whistle has to be HIGHER than the 23.5 kHz if it is to be inaudible to humans. Humans can hear up to around 20 kHz. This means the whistle frequency must be 23.5 Khz + 5 kHz = 28.5 kHz.
48.
a) 343 Hz
b) 1029 Hz, 1715 Hz
49a. Find the frequencies of each wave using the wave equation. beat frequency = 5.649 Hz
53. 77.27 Hz is the observed frequency, so the beat frequency would be 2.27 Hz.
54. The two frequencies would be 120 Hz and 126 Hz, the 126 Hz observed from the moving car. Thus the frequency of both horns must be 120 Hz.
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