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Chapter 12: 5Q (page 328)

What evidence can you give that the speed of sound in air does not depend significantly on frequency?

Short Answer

Expert verified

Consider the example of the orchestra; the higher notes and lower notes can be distinguished. Therefore, for larger distances, this difference cannot be heard.

Therefore, if the distance is larger, the sound is independent of frequency.

Step by step solution

01

Variables on which the speed of the wave depends

The speed of the wave does not rely on the wave's frequency. The change in frequency affects the wavelength of the wave. The speed of the sound depends on the tension in the string and the density of the medium.

02

Example that illustrates the speed of sound in the air does not depend significantly on frequency

When chords are played in the orchestra, the higher notes are audible at one time and the lower notes at another time. For larger distances, this difference cannot be heard.

It shows that for a large distance, the sound in the air does not depend on frequency.

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Most popular questions from this chapter

Question: (II) An unfingered guitar string is 0.68 m long and is tuned to play E above middle C (330 Hz). (a) How far from the end of this string must a fret (and your finger) be placed to play A above middle C (440 Hz)? (b) What is the wavelength on the string of this 440-Hz wave? (c) What are the frequency and wavelength of the sound wave produced in air at 22°C by this fingered string?

Question: The “alpenhorn” (Fig. 12–42) was once used to send signals from one Alpine village to another. Since lower frequency sounds are less susceptible to intensity loss, long horns were used to create deep sounds. When played as a musical instrument, the alpenhorn must be blown in such a way that only one of the overtones is resonating. The most popular alpenhorn is about \({\bf{3}}{\bf{.4}}\,{\bf{m}}\) long, and it is called the \({{\bf{F}}^{\bf{\# }}}\) horn. What is the fundamental frequency of this horn, and which overtone is close to\({{\bf{F}}^{\bf{\# }}}\)? (See Table12–3.) Model as a tube open at both ends.

Question: Two loudspeakers are at opposite ends of a railroad car as it moves past a stationary observer at\({\bf{12}}{\bf{.0}}\,{\bf{m/s}}\), as shown in Fig. 12–41. If the speakers have identical sound frequencies of \({\bf{348}}\,{\bf{Hz}}\), what is the beat frequency heard by the observer when (a) he listens from position A, in front of the car, (b) he is between the speakers, at B, and (c) he hears the speakers after they have passed him, at C?

Fig. 12-41

Question: (II) Approximately what are the intensities of the first two overtones of a violin compared to the fundamental? How many decibels softer than the fundamental are the first and second overtones? (See Fig. 12–15.)

Is there a Doppler shift if the source and observer move in the same direction, with the same velocity? Explain.
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