Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Question
Chapter 16, Problem 4Q
To determine
To rank:
The waves according to their:
a) Wavelengths.
b) Speeds.
c) Angular frequencies (greatest first).
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Students have asked these similar questions
2 In Fig. 16-24, wave 1 consists of a rectangular peak of height 4 units
and width d, and a rectangular valley of depth 2 units and width d. The
wave travels rightward along an x axis Choices 2, 3, and 4 are similar
waves, with the same heights, depths, and widths, that will travel leftward
along that axis and through wave 1. Right-going wave 1 and one of the
left-going waves will interfere as they pass through each other. With
which left-going wave will the interference give, for an instant, (a) the
deepest valley, (b) a flat line, and (c) a flat peak 2d wide?
(1)
(2)
(3)
(4)
4 Figure 16-26 shows three waves that
are separately sent along a string that is
stretched under a certain tension along
an x axis. Rank the waves according to
their (a) wavelengths, (b) speeds, and
(c) angular frequencies,greatest first.
3.
66 Figure 16-44 shows the dis-
placement y versus time t of the
point on a string at x= 0, as a
wave passes through that point.
The scale of the y axis is set by
y, = 6.0 mm. The wave is given
by y(x, t) = ym sin(kx – wt + 4).
What is 4? (Caution: A calculator
does not always give the proper
inverse trig function, so check your answer by substituting it and an
assumed value of w into y(x, 1) and then plotting the function.)
y (mm)
Figure 16-44 Problem 66.
Chapter 16 Solutions
Fundamentals of Physics Extended
Ch. 16 - Prob. 1QCh. 16 - Prob. 2QCh. 16 - Prob. 3QCh. 16 - Prob. 4QCh. 16 - Prob. 5QCh. 16 - The amplitudes and phase differences for four...Ch. 16 - Prob. 7QCh. 16 - a If a standing wave on a siring is given by y't =...Ch. 16 - Prob. 9QCh. 16 - If you set up the seventh harmonic on a string, a...
Ch. 16 - Prob. 11QCh. 16 - If a wave yx, t = 6.0mm sinkx 600 rad/st ...Ch. 16 - Prob. 2PCh. 16 - A wave has an angular frequency of 110 rad/s and a...Ch. 16 - Prob. 4PCh. 16 - A sinusoidal wave travels along a string. The time...Ch. 16 - Prob. 6PCh. 16 - A transverse sinusoidal wave is moving along a...Ch. 16 - Prob. 8PCh. 16 - Prob. 9PCh. 16 - The equation of a transverse wave traveling along...Ch. 16 - Prob. 11PCh. 16 - GO The function yx, t = 15.0 cm cosx 15 t, with x...Ch. 16 - Prob. 13PCh. 16 - The equation of a transverse wave on a string is y...Ch. 16 - Prob. 15PCh. 16 - The speed of a transverse wave on a string is 170...Ch. 16 - The linear density of a string is 1.6 104 kg/m. A...Ch. 16 - Prob. 18PCh. 16 - SSM What is the speed of a transverse wave in a...Ch. 16 - The tension in a wire clamped at both ends is...Ch. 16 - ILW A 100 g wire is held under a tension of 250 N...Ch. 16 - A sinusoidal wave is traveling on a string with...Ch. 16 - SSM ILW A sinusoidal transverse wave is traveling...Ch. 16 - Prob. 24PCh. 16 - A uniform rope of mass m and length L hangs from a...Ch. 16 - A string along which waves can travel is 2.70 m...Ch. 16 - Prob. 27PCh. 16 - Use the wave equation to find the speed of a wave...Ch. 16 - Use the wave equation to find the speed of a wave...Ch. 16 - Use the wave equation to find the speed of a wave...Ch. 16 - Prob. 31PCh. 16 - What phase difference between two identical...Ch. 16 - Prob. 33PCh. 16 - Prob. 34PCh. 16 - SSM Two sinusoidal waves of the same frequency...Ch. 16 - Four waves are to be sent along the same string,...Ch. 16 - GO These two waves travel along the same string:...Ch. 16 - Two sinusoidal waves of the same frequency are to...Ch. 16 - Two sinusoidal waves of the same period, with...Ch. 16 - Two sinusoidal waves with identical wavelengths...Ch. 16 - Prob. 41PCh. 16 - Prob. 42PCh. 16 - SSM WWW What are a the lowest frequency, b the...Ch. 16 - A 125 cm length of string has mass 2.00 g and...Ch. 16 - Prob. 45PCh. 16 - String A is stretched between two clamps separated...Ch. 16 - Prob. 47PCh. 16 - If a transmission line in a cold climate collects...Ch. 16 - Prob. 49PCh. 16 - Prob. 50PCh. 16 - Prob. 51PCh. 16 - A rope, under a tension of 200 N and fixed at both...Ch. 16 - Prob. 53PCh. 16 - Prob. 54PCh. 16 - GO The following two waves are sent in opposite...Ch. 16 - A standing wave pattern on a string is described...Ch. 16 - A generator at one end of a very long string...Ch. 16 - GO In Fig. 16-42, a string, tied to a sinusoidal...Ch. 16 - GO In Fig. 16-43, an aluminum wire, of length L1 =...Ch. 16 - Prob. 60PCh. 16 - Prob. 61PCh. 16 - Prob. 62PCh. 16 - A wave has a speed of 240 m/s and a wavelength of...Ch. 16 - The equation of a transverse wave traveling alone...Ch. 16 - The equation of a transverse wave traveling along...Ch. 16 - Prob. 66PCh. 16 - Prob. 67PCh. 16 - Prob. 68PCh. 16 - Prob. 69PCh. 16 - Prob. 70PCh. 16 - A transverse sinusoidal wave is generated at one...Ch. 16 - Prob. 72PCh. 16 - Prob. 73PCh. 16 - Prob. 74PCh. 16 - a What is the fastest transverse wave that can be...Ch. 16 - A standing wave results from the sum of two...Ch. 16 - Prob. 77PCh. 16 - Prob. 78PCh. 16 - Prob. 79PCh. 16 - When played in a certain manner, the lowest...Ch. 16 - A sinusoidal transverse wave traveling in the...Ch. 16 - Two sinusoidal waves of the same wavelength travel...Ch. 16 - Prob. 83PCh. 16 - Prob. 84PCh. 16 - Prob. 85PCh. 16 - a Write an equation describing a sinusoidal...Ch. 16 - A wave on a string is described by yx, t = 15.0...Ch. 16 - Prob. 88PCh. 16 - Two waves are described by...Ch. 16 - Prob. 90PCh. 16 - SSM In a demonstration, a 1.2 kg horizontal rope...Ch. 16 - Prob. 92PCh. 16 - A traveling wave on a string is described by...Ch. 16 - Prob. 94PCh. 16 - Prob. 95PCh. 16 - Consider a loop in the standing wave created by...
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- A transverse wave traveling along an x axis has the fornm given by (16-18) y =y," sin(kx ± ω1 + φ). Figure 16-8a gives the displacement of string elements as a function of , al at time0. Figure 16-8h gives the displacements of the element at x 0 as a function oft. Find the values of the quantities shown in Eq. 16-18, including the correct choice of sign. (min) 10 20 -10 -20 -9 *レ b)arrow_forward93. ssm Suppose that the linear density of the A string on a violin is 7.8 x 10-4 kg/m. A wave on the string has a frequency of 440 Hz and a wavelength of 65 cm. What is the tension in the string?arrow_forwardReference: Problem 11-93. A bat emits an ultrasound burst (frequency = f) as it flies toward a cave wall at speed v. At what frequency does the bat perceive the reflected pulse? Assume air at 20 °C. f = 50.6 kHz; v = 7.7 m/s]arrow_forward
- 27P. A sinusoidal transverse wave is traveling along a string toward decreasing x. Figure 17-29 shows a plot of the displace- ment as a function of position at time t= 3.6 N, and its linear density is 25 g/m. Find (a) the amplitude, (b) 0. The string tension is the wavelength, (c) the wave speed, and (d) the period of the wave. (e) Find the maximum speed of a particle in the string. (f) Write an equation describing the traveling wave. 6. 4 2. -2 -4 -6 10 20 30 40 50 60 70 80 x (cm) FIGURE 17-29 Problem 27.arrow_forward2 In Fig. 17-25, two point sources S. S, and S2, which are in phase, emit identical sound waves of wave- S,. length 2.0 m. In terms of wave- lengths, what is the phase differ- ence between the waves arriving at point P if (a) L1 = 38 m and L2 = 34 m, and (b) L, = 39 m and L2 = 36 m? (c) Assuming that the source separation is much smaller than L1 and L2, what type of interference occurs at P in situations (a) and (b)? Figure 17-25 Question 2.arrow_forwardWhen a sinusoidal wave crosses the boundary between two sections of cord as in Fig. 11–34, the frequency does not change (although the wavelength and velocity do change). Explain whyarrow_forward
- 95 A continuous traveling wave with amplitude A is incident on a boundary. The continuous reflection, with a smaller amplitude B, travels back through the incoming wave. The resulting interference pattern is displayed in Fig. 16-51. The standing wave ratio is defined to be A + B А - В SWR = The reflection coefficient R is the ratio of the power of the reflected wave to the Amax Amin Anax power of the incoming wave and is thus proportional to the ratio (BIA). What is the SWR for (a) total reflection and (b) no reflection? (c) For SWR = 1.50, what is R expressed as a percentage? Figure 16-51 Problem 95.arrow_forward95 A continuous traveling wave with amplitude A is incident on a boundary. The continuous reflection, with a smaller amplitude B, travels back through the incoming wave. The resulting interference pattern is displayed in Fig. 16-51. The standing wave ratio is defined to be A + B А — В SWR The reflection coefficient R is the ratio of the power of the reflected wave to the Ana Amin Am max ах power of the incoming wave and is thus proportional to the ratio (BIA). What is the SWR for (a) total reflection and (b) no reflection? (c) For SWR = 1.50, what is R expressed as a percentage? Figure 16-51 Problem 95.arrow_forwardM1 M2 .25 A uniform rope of mass m and length L hangs from a ceiling. (a) Show that the speed of a trans- verse wave on the rope is a function of y, the distance from the lower end, and is given by v = Vgy. (b) Show that the time a transverse wave takes to travel the length of the rope is given by t = 2VLIg. (6) Figure 16-36 Problem 24.arrow_forward
- Consider a wave on a string moving to the right, as shown in Fig. 11-50. What is the direction of the velocity of a particle of string at point B? Wave velocity (a) A B (b) (c) ▼ FIGURE 11-50 (d). MisConceptual Question 12. (e) v = 0, so no direction.arrow_forwardExample 14-8 depicts the following scenario. Two people relaxing on a deck listen to a songbird sing. One person, only 1.66 m from the bird, hears the sound with an intensity of 2.86×10−6 W/m^2. A bird-watcher is hoping to add the white-throated sparrow to her "life list" of species. How far could she be from the bird described in example 14-8 and still be able to hear it? Assume no reflections or absorption of the sparrow's sound.arrow_forwardThanks for the answer.arrow_forward
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