Three sources of sound are distributed along a line, as shown in the figure. v i

Question

Three sources of sound are distributed along a line, as shown in the figure. v is the speed of sound. Source A is at rest, and it emits sound waves with a frequency of 600 Hz. Source B is traveling at v/5 to the right, and it emits sound waves with a frequency of 1110 Hz. Source C is traveling at a speed of v/3 to the left, and it emits sound waves with a frequency of 1600 Hz. A, B, and C also detect the sound waves emitted by the other sources. All the questions below pertain to when the three sources of sound are at the locations shown in the figure below.

Explanation / Answer

By the Doppler Effect,

f' = f(v/(v + v/5))

Simplifying we get

f' = 5/6f

f' = (5/6)(1110)

f' = 925 Hz

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