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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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FIGURE EX17.28 shows the circular wave fronts emitted by two
wave sources.
a. Are these sources in phase or out of phase? Explain.
b. Make a table with rows labeled P, Q, and R and columns
labeled and C/D. Fill in the table for points P, Q,
and R, giving the distances as multiples of l and indicating,
with a C or a D, whether the interference at that point is
constructive or destructive.
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?
A heavy piece of hanging sculpture is suspended by a 90-cmlong, 5.0 g steel wire. When the wind blows hard, the wire hums at its fundamental frequency of 80 Hz. What is the mass of the sculpture?
Western music uses a musical scale with equal temperament tuning, which means that any two adjacent notes have the same frequency ratio r. That is, notes n and n + 1 are related by fn+1 = r fn for all n. In this system, the frequency doubles every 12notes鈥攁n interval called an octave.
a. What is the value of r?
b. Orchestras tune to the note A, which has a frequency of440 Hz. What is the frequency of the next note of the scale (called A-sharp)?
A sheet of glass is coated with a 500-nm-thick layer of oil 1n = 1.422.
a. For what visible wavelengths of light do the reflected waves interfere constructively?
b. For what visible wavelengths of light do the reflected waves interfere destructively?
c. What is the color of reflected light? What is the color of transmitted light?
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