Chapter 17: Q6. (page 482)
A flute filled with helium will, until the helium escapes, play notes at a much higher pitch than normal. Why?
Speed of sound is higher in helium than air.
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A violin string is 30 cm long. It sounds the musical note A (440 Hz) when played without fingering. How far from the end of the string should you place your finger to play the note C (523 Hz)?
Traditional Indonesian music uses an ensemble called a gamelan that is based on tuned percussion instruments somewhat like gongs. In Bali, the gongs are often grouped in pairs that are slightly out of tune with each other. When both are played at once, the beat frequency lends a distinctive vibrating quality to the music. Suppose a pair of gongs are tuned to produce notes at 151 Hz and 155 Hz. How many beats are heard if the gongs are struck together and both ring for 2.5 s?
Two loudspeakers emit sound waves along the x-axis. A listener in front of both speakers hears a maximum sound intensity when speaker 2 is at the origin and speaker 1 is at x = 0.50 m. If speaker 1 is slowly moved forward, the sound intensity decreases and then increases, reaching another maximum when speaker 1 is at x = 0.90 m.
a. What is the frequency of the sound? Assume vsound = 340 m/s.
b. What is the phase difference between the speakers?
A 75 g bungee cord has an equilibrium length of 1.20 m. The
cord is stretched to a length of 1.80 m, then vibrated at 20 Hz. This
produces a standing wave with two antinodes. What is the spring
constant of the bungee cord?
In music, two notes are said to be an octave apart when one note is exactly twice the frequency of the other. Suppose you have a guitar string playing frequency f0. To increase the frequency by an octave, to 2f0, by what factor would you have to (a) increase the tension or (b) decrease the length?
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