College Physics, 6e (Wilson/Buffa/Lou)

Chapter 13

Essay Questions

  1. Is the Earth completely solid? Use what you learned in this unit to explain how scientists come to the same conclusion.
  1. Two people are blowing identical whistles. One is approaching the other (who is standing still) at 40 m/s. Neglecting the sound of their own whistles, will both people hear the same frequency, or will they hear different frequencies? Explain your reasoning.
    Conceptual Exercises

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When the speed of a wave depends on the wavelength (or frequency), the waves are said to exhibit diffraction.

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True

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False

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Diff: 1

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2)

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The condition of driving a system at a natural frequency is referred to as resonance.

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True

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False

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Diff: 1

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Page Ref: Sec. 13.4

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3)

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Consider the wave shown in Figure 13-4

Figure 13-4

The amplitude is

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Answer:

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4 m

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Diff: 1

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Page Ref: Sec. 13.3

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Chapter 13

Consider the wave shown in Figure 13-5 below for the following item(s).

Figure 13-5

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4)

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The wavelength in Figure 13-5

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Answer:

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Cannot tell

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Diff: 1

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Page Ref: Sec. 13.3

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The frequency in Figure 13-5

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Answer:

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0.5 Hz

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The total distance traveled by a particle in a wave during one complete oscillation is ______times the amplitude.

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Answer:

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4

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Diff: 1

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Page Ref: Sec. 13.3

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The lower the frequency of a sound wave, the

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Answer:

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Greater the period and greater the wavelength

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Diff: 2

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Page Ref: Sec. 13.3

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8)

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When waves interfere, the result is ______the original waves.

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Answer:

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Different (sometimes more, sometimes less) than

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Diff: 1

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Page Ref: Sec. 13.4

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9)

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When a wave crosses a boundary into another medium at an angle, it is

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Answer:

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Refracted or bent

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Diff: 1

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Page Ref: Sec. 13.4

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10)

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The natural frequencies for a stretched string of length L, and wave speed v, are Nv/(2L) where N equals

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Answer:

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Any positive integer

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Diff: 2

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Page Ref: Sec. 13.5

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11)

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Which part of a vibrating string experiences the maximum acceleration?

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Answer:

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The antinodes

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Diff: 2

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Page Ref: Sec. 13.5

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Quantitative Exercises

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Chapter 13

If a floating log is seen to bob up and down 15. times in a minute as waves pass by you, what is the frequency and period of the wave?

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Answer:f = 0.25 Hz, T = 4 s

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Diff: 1

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Page Ref: Sec. 13.3

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13)

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A stretched string is observed to have three equal segments in a standing wave driven at a frequency of 480. Hz. What driving frequency will set up a standing wave with four equal segments?

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Answer: 640 Hz

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Diff: 2

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Page Ref: Sec. 13.5

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14)

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Chapter 13

A string fixed at both ends is vibrating in its 8th harmonic.

(a)How many nodes are on the string?

(b)The 8th harmonic wavelength is what fraction of the string length?

(c)If the 8th harmonic frequency is 976. Hz, what is the frequency of the 3rd harmonic?

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Answer:

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(a)9 nodes

(b)1/4

(c)366 Hz

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Diff: 3

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Page Ref: Sec. 13.5

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Skill: Algorithmic

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15)

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A string of length 2.5 m is fixed at both ends. When the string vibrates at a frequency of 85 Hz, a standing wave with five loops is formed.

(a)Determine the distance between two adjacent nodes.

(b)Determine the wavelength of the waves that travel on the string.

(c)Determine the velocity of waves.

(d)Determine the fundamental frequency of this string.

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Answer:

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(a)0.5 m

(b)1.0 m

(c)85 m/s

(d)17 Hz

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Diff: 2

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Page Ref: Sec. 13.5

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16)

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Waves on a lake pass under a floating bird causing the bird to bob up and down with a period of 2.5 seconds. If the distance from wave trough to wave trough is 3.0 meters, what is the speed of the wave?

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Answer:

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1.2 m/s

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Diff: 2

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Page Ref: Sec. 13.3

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17)

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What is the velocity of propagation if a wave has a frequency of 12. Hz and a wavelength of 3.0 m?

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Answer:

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36 m/s

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Diff: 2

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Page Ref: Sec. 13.3

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18)

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A spring, fixed at both ends, vibrates at a frequency of 12. Hz with a standing transverse wave pattern as shown in Figure 13-7.

Figure 13-7

What is this spring's fundamental frequency?

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Answer:

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4 Hz

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Diff: 2

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Page Ref: Sec. 13.5

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19)

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The velocity of propagation of a transverse wave on a 2.0 m long string fixed at both ends is 200. m/s. Which one of the following is not a resonant frequency of this string?

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Answer:

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Chapter 13

Frequencies that are a multiple of 50 Hz will resonate. Anything else will not.

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Diff: 2

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Page Ref: Sec. 13.5

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20)

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Chapter 13

One of the harmonics of a string fixed at both ends has a frequency of 52.2 Hz and the next higher harmonic has a frequency of 60.9 Hz. What is the fundamental frequency of the string?

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Answer:

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8.7 Hz

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Diff: 2

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Page Ref: Sec. 13.5

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21)

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Chapter 13

A string, fixed at both ends, vibrates at a frequency of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wave pattern is to contain 4 loops?

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Answer:

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Chapter 13

16 Hz

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Diff: 2

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Page Ref: Sec. 13.5

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Conceptual Exercises

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5)

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Sound vibrations with frequencies less than 20 Hz are called

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Answer:

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Infrasonic

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Diff: 1

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Page Ref: Sec. 14.1

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6)

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Sound vibrations with frequencies greater than 20,000 Hz are called

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Answer:

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Ultrasonic

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Diff: 1

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Page Ref: Sec. 14.1

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7)

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As the temperature of the air increases, what happens to the velocity of sound? (Assume that all other factors remain constant.)

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Answer:

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Increases

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Diff: 1

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Page Ref: Sec. 14.2

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9)

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Chapter 14

If you were to inhale a few breaths from a helium gas balloon, you would probably experience an amusing change in your voice. You would sound like Donald Duck or Alvin the Chipmunk. What is the cause of this curious high-pitched effect?

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Answer:

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The velocity of sound is higher in helium

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Diff: 2

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Page Ref: Sec. 14.2

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12)

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The decibel level of sound is related to its

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Answer:

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Intensity, power, and distance from the source

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Diff: 1

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Page Ref: Sec. 14.3

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13)

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The intensity of a sound wave is proportional to its

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Answer:

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Power

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Diff: 1

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Page Ref: Sec. 14.3

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14)

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Chapter 14

Suppose that a source of sound is emitting waves uniformly in all directions. If you move to a point twice as far away from the source, the frequency of the sound will be

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Answer:

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The same

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Diff: 1

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Page Ref: Sec. 14.3

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15)

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You double your distance from a constant sound source that is radiating equally in all directions. What happens to the intensity of the sound? It reduces to

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Answer:

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Chapter 14

¼ the original value

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Diff: 2

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Page Ref: Sec. 14.3

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16)

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If the intensity of sound changes (increases) by a factor of 100, the decibel level changes by a factor of

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Answer:

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20 dB

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Diff: 2

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Page Ref: Sec. 14.3

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17)

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When sound passes from air into water

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A)

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its velocity: increases

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B)

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its frequency: stays the same

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C)

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its wavelength: increases

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Diff: 1

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Page Ref: Sec. 14.4

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18)

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Two coherent sound waves will destructively interfere when the path difference is the wavelength times what?

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Answer:

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An odd number times 1/2

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Diff: 1

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Page Ref: Sec. 14.4

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19)

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Two coherent sound waves will constructively interfere when the path difference is the wavelength times what?

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Answer:

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Any integer

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Diff: 1

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