Explanation Consider a source of frequency f and the period T for producing two waves one after one. Now, this source is receding from a detector D with a constant velocity v s . The distance traveled by the source in time T is v s T . The distance traveled by the first wavefront in the time t is v t . The distance traveled by the second wavefront in the time interval ( t − T ) is v ( t − T ) . The separation between two wavefronts is equal to the Doppler shift λ ' . The wave crests stretch out behind the source when the source moves away. The distance between one crest and the next is one wavelength, so the wavelength λ − behind the source is larger than λ 0 = v / f 0 that would be emitted if the source were at rest. These crests move through the medium at the wave speed v . Consequently, the frequency f − = v / λ − detected by the observer whom the source is receding or detected behind the source is lower than frequency f 0 . This change of frequency when a source moves relative to an observer is called the Doppler effect. The wave crests stretch out behind the source. The wavelength detected by the observer is λ − = d 3 . Here, d is the distance wave moves plus the distance the source moves at the time, t = 3 T . These distances are: The distance the wave has moved, Δ x w a v e = v t = 3 v T

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ISBN: 9780135245033

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Chapter 16, Problem 77EAP

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The Doppler frequency f− of a receding source is f−=f01+vsv

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Chapter 16, Problem 76EAP

Chapter 16, Problem 78EAP

Chapter 16 Solutions

MASTERPHYS:KNIGHT'S PHYSICS ACCESS+WKB

Ch. 16 - Prob. 1CQ Ch. 16 - A wave pulse trath along a stretched string at a...Ch. 16 - FIGURE Q16.3 is a history graph showing the...Ch. 16 - FIGURE Q16.4 shows a snapshot graph and a history...Ch. 16 - Rank in order, from largest to smallest, the...Ch. 16 - A sound wave with wavelength ?0 and frequency...Ch. 16 - Prob. 7CQ Ch. 16 - FIGURE Q16.8 is a snapshot graph of a sinusoidal...Ch. 16 - FIGURE Q16.9 shows the wave fronts of a circular...Ch. 16 - Prob. 10CQ

Ch. 16 - One physics professor talking produces a sound...Ch. 16 - You are standing at x = 0 m, listening to a sound...Ch. 16 - The wave speed on a string under tension is 200...Ch. 16 - The wave speed on a string is 150 m/s when the...Ch. 16 - A 25 g string is under 20 N of tension. A pulse...Ch. 16 - Draw the history graph D(x = 4.0 m, t ) at x = 4.0...Ch. 16 - Prob. 5EAP Ch. 16 - Draw the snapshot graph D (x, t = 0 s) at t = 0 s...Ch. 16 - Prob. 7EAP Ch. 16 - Prob. 8EAP Ch. 16 - Prob. 9EAP Ch. 16 - A wave has angular frequency 30 rad/s and...Ch. 16 - A wave travels with speed 200 m/s. Its wave number...Ch. 16 - Prob. 12EAP Ch. 16 - The displacement of a wave traveling in thee...Ch. 16 - What are the amplitude, frequency and wavelength...Ch. 16 - 15. Show that the displacement D(x, t) cx2 + dt2,...Ch. 16 - Show that the displacement D(x, t) = ln(ax + bt),...Ch. 16 - a. What is the wavelength of a 2.0 MHz ultrasound...Ch. 16 - Prob. 18EAP Ch. 16 - Prob. 19EAP Ch. 16 - Prob. 20EAP Ch. 16 - Prob. 21EAP Ch. 16 - Prob. 22EAP Ch. 16 - 23. Cell phone conversations are transmitted by...Ch. 16 - a. How long does it take light to travel through a...Ch. 16 - A light wave has a 670 nm wavelength in air. Its...Ch. 16 - Prob. 26EAP Ch. 16 - Prob. 27EAP Ch. 16 - Prob. 28EAP Ch. 16 - Prob. 29EAP Ch. 16 - Prob. 30EAP Ch. 16 - Prob. 31EAP Ch. 16 - Prob. 32EAP Ch. 16 - A sound wave with intensity 2.0 × l0-3 W/m2 is...Ch. 16 - Prob. 34EAP Ch. 16 - Prob. 35EAP Ch. 16 - During takeoff, the sound intensity level of a jet...Ch. 16 - 37. The sun emits electromagnetic waves with a...Ch. 16 - What are the sound intensity levels for sound...Ch. 16 - Prob. 39EAP Ch. 16 - Prob. 40EAP Ch. 16 - Prob. 41EAP Ch. 16 - Prob. 42EAP Ch. 16 - A bat locates insects by emitting ultrasonic...Ch. 16 - Prob. 44EAP Ch. 16 - 45. I FIGURE P16.45 is a history graph at x = 0 m...Ch. 16 - . I FIGURE P16.46 is a snapshot graph at t=0sof a...Ch. 16 - Prob. 47EAP Ch. 16 - Prob. 48EAP Ch. 16 - Prob. 49EAP Ch. 16 - A helium-neon laser beam has a wavelength in air...Ch. 16 - Earthquakes are essentially sound waves—called...Ch. 16 - Helium (density 0.18k/m ’ at 0C and 1 atm...Ch. 16 - Prob. 53EAP Ch. 16 - 54. A sound wave is described by ,where y is in m...Ch. 16 - A wave on a string is described by...Ch. 16 - Prob. 56EAP Ch. 16 - Prob. 57EAP Ch. 16 - Prob. 58EAP Ch. 16 - Prob. 59EAP Ch. 16 - The string in FIGURE P16.60 has linear density ....Ch. 16 - A string that is under 50.0N of tension has linear...Ch. 16 - Prob. 62EAP Ch. 16 - A sinusoidal wave travels along a stretched...Ch. 16 - Prob. 64EAP Ch. 16 - Prob. 65EAP Ch. 16 - An AM radio station broadcasts with a power of...Ch. 16 - Prob. 67EAP Ch. 16 - The sound intensity 50m from a wailing tornado...Ch. 16 - Prob. 69EAP Ch. 16 - 70. A compact sound source radiates of sound...Ch. 16 - Prob. 71EAP Ch. 16 - Prob. 72EAP Ch. 16 - Prob. 73EAP Ch. 16 - Prob. 74EAP Ch. 16 - Prob. 75EAP Ch. 16 - Prob. 76EAP Ch. 16 - Prob. 77EAP Ch. 16 - A starship approaches its home planet at a speed...Ch. 16 - Prob. 79EAP Ch. 16 - Prob. 80EAP Ch. 16 - Prob. 81EAP Ch. 16 - A roof mass m and length L hangs from a ceiling....Ch. 16 - A communications truck with a 44-cm-diameter dish...Ch. 16 - Prob. 84EAP Ch. 16 - A water wave is a shallow-water wave if the water...

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