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The Love Song of the Midshipman Fish When the plainfin
Chapter 14, Problem 112GP(choose chapter or problem)
The Love Song of the Midshipman Fish When the plainfin midshipman fish (Porichthys notatus) migrates from deep Pacific waters to the west coast of North America each summer, the males begin to sing their “love song,” which some describe as sounding like a low-pitched motorboat. Houseboat residents and shore dwellers are kept awake for nights on end by the amorous fish. The love song consists of a single note, the second A flat below middle C. (a) If the speed of sound in seawater is 1531 m/s, what is the wavelength of the midshipman’s song? (b) What is the wavelength of the sound after it emerges into the air? (Information on the musical scale is given in Table 14–3.)
Questions & Answers
QUESTION:
The Love Song of the Midshipman Fish When the plainfin midshipman fish (Porichthys notatus) migrates from deep Pacific waters to the west coast of North America each summer, the males begin to sing their “love song,” which some describe as sounding like a low-pitched motorboat. Houseboat residents and shore dwellers are kept awake for nights on end by the amorous fish. The love song consists of a single note, the second A flat below middle C. (a) If the speed of sound in seawater is 1531 m/s, what is the wavelength of the midshipman’s song? (b) What is the wavelength of the sound after it emerges into the air? (Information on the musical scale is given in Table 14–3.)
ANSWER:a.)
Step 1 of 2
We have to find the wavelength of the midshipman’s song, if the speed of sound in seawater is 1531 m/s.
The frequency of the note, the second A flat below middle C is given by the expression.
Where,
415.3 Hz
Thus,
The wavelength of the midshipman’s song is given by
Where,
speed of sound in
seawater = 1531 m/s
Therefore, the wavelength of the midshipman’s song is 14.75 m.
b.)