Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Textbook Question
Chapter 15, Problem 49P
(II) If two successive harmonics of a vibrating string are 240 Hz and 320 Hz, what is the frequency of the fundamental?
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(I) If a violin string vibrates at 440 Hz as its fundamental frequency, what are the frequencies of the first four harmonics?
(II) If two successive overtones of a vibrating string are 280 Hz and 350 Hz, what is the frequency of the fundamental?
(II) Two violin strings are tuned to the same frequency, 294 Hz. The tension in one string is then decreased by 2.5%. What will be the beat frequency heard when the two strings are played together?
Chapter 15 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 15.1 - Prob. 1AECh. 15.1 - You notice a water Wave pass by the end of a pier...Ch. 15.2 - A wave starts at the left end of a long cord (see...Ch. 15.4 - A wave is given by D(x, t) = (5.0 mm) sin(2.0x ...Ch. 15 - Prob. 1QCh. 15 - Explain the difference between the speed of a...Ch. 15 - Prob. 3QCh. 15 - What kind of waves do you think will travel down a...Ch. 15 - Prob. 5QCh. 15 - Prob. 6Q
Ch. 15 - The speed of sound in most solids is somewhat...Ch. 15 - Give two reasons why circular water waves decrease...Ch. 15 - Prob. 9QCh. 15 - Will any function of (x t)see Eq. 1514represent a...Ch. 15 - When a sinusoidal wave crosses the boundary...Ch. 15 - If a sinusoidal wave on a two-section cord (Fig....Ch. 15 - Is energy always conserved when two waves...Ch. 15 - Prob. 14QCh. 15 - When a standing wave exists on a string, the...Ch. 15 - Prob. 16QCh. 15 - When a cord is vibrated as in Fig. 1525 by hand or...Ch. 15 - AM radio signals can usually be heard behind a...Ch. 15 - Prob. 19QCh. 15 - (I) A fisherman notices that wave crests pass the...Ch. 15 - (I) A sound wave in air has a frequency of 262 Hz...Ch. 15 - (I) Calculate the speed of longitudinal waves in...Ch. 15 - (1) AM radio signals have frequencies between 550...Ch. 15 - (I) Determine the wavelength of a 5800-Hz sound...Ch. 15 - (II) A cord of mass 0.65 kg is stretched between...Ch. 15 - (II) A 0.40-kg cord is stretched between two...Ch. 15 - (II) A sailor strikes the side of his ship just...Ch. 15 - (II) A ski gondola is connected to the top of a...Ch. 15 - Prob. 10PCh. 15 - (II) The wave on a string shown in Fig. 1533 is...Ch. 15 - (II) A 5.0kg ball hangs from a steel wire 1.00 mm...Ch. 15 - (II) Two children are sending signals along a cord...Ch. 15 - (II) Dimensional analysis. Waves on the surface of...Ch. 15 - Prob. 15PCh. 15 - (II) What is the ratio of (a) the intensities, and...Ch. 15 - (II) Show that if damping is ignored, the...Ch. 15 - (II) The intensity of an earthquake wave passing...Ch. 15 - (II) A small steel wire of diameter 1.0 mm is...Ch. 15 - (II) Show that the intensity of a wave is equal to...Ch. 15 - (II) (a) Show that the average rate with which...Ch. 15 - (I) A transverse wave on a wire is given by D(x,...Ch. 15 - Prob. 23PCh. 15 - (II) A transverse traveling wave on a cord is...Ch. 15 - (II) Consider the point x = 1.00 m on the cord of...Ch. 15 - (II) A transverse wave on a cord is given by D(x,...Ch. 15 - (II) A transverse wave pulse travels to the right...Ch. 15 - (II) A 524-Hz longitudinal wave in air has a speed...Ch. 15 - (II) Write the equation for the wave in Problem 28...Ch. 15 - (II) A sinusoidal wave traveling on a string in...Ch. 15 - (II) Determine if the function D = A sin k x cos t...Ch. 15 - (II) Show by direct substitution that the...Ch. 15 - Prob. 33PCh. 15 - (II) Let two linear waves be represented by D1 =...Ch. 15 - Prob. 35PCh. 15 - Prob. 36PCh. 15 - (II) A cord has two sections with linear densities...Ch. 15 - Prob. 38PCh. 15 - (II) Seismic reflection prospecting is commonly...Ch. 15 - (III) A cord stretched to a tension FT consists of...Ch. 15 - (I) The two pulses shown in Fig. 1536 are moving...Ch. 15 - Prob. 42PCh. 15 - (I) A violin siring vibrates at 441 Hz when...Ch. 15 - (I) If a violin string vibrates at 294 Hz as its...Ch. 15 - Prob. 45PCh. 15 - (I) A particular string resonates in four loops at...Ch. 15 - (II) A cord of length 1.0 m has two equal-length...Ch. 15 - (II) The velocity of waves on a string is 96 m/s....Ch. 15 - (II) If two successive harmonics of a vibrating...Ch. 15 - (II) A guitar string is 90.0 cm long and has a...Ch. 15 - (II) Show that the frequency of standing waves on...Ch. 15 - (II) One end of a horizontal string of linear...Ch. 15 - (II) In Problem 52, Fig. 1537, the length of the...Ch. 15 - Prob. 54PCh. 15 - Prob. 55PCh. 15 - (II) When you slosh the water back and forth in a...Ch. 15 - (II) A particular violin string plays at a...Ch. 15 - (II) Two traveling waves are described by the...Ch. 15 - (II) Plot the two waves given in Problem 58 and...Ch. 15 - Prob. 60PCh. 15 - Prob. 61PCh. 15 - (II) A 65-cm guitar string is fixed at both ends....Ch. 15 - (II) Two oppositely directed traveling waves given...Ch. 15 - Prob. 64PCh. 15 - (I) An earthquake P wave traveling 8.0 km/s...Ch. 15 - (I) Water waves approach an underwater shelf where...Ch. 15 - (II) A sound wave is traveling in warm air (25C)...Ch. 15 - (II) Any type of wave that reaches a boundary...Ch. 15 - Prob. 69PCh. 15 - (II) A satellite dish is about 0.5 m in diameter....Ch. 15 - Prob. 71GPCh. 15 - Prob. 72GPCh. 15 - Prob. 73GPCh. 15 - Prob. 74GPCh. 15 - A bug on the surface of a pond is observed to move...Ch. 15 - A guitar string is supposed to vibrate at 247 Hz,...Ch. 15 - Prob. 77GPCh. 15 - A uniform cord of length l and mass m is hung...Ch. 15 - A transverse wave pulse travels to the right along...Ch. 15 - (a) Show that if the tension in a stretched string...Ch. 15 - Two strings on a musical instrument are tuned to...Ch. 15 - The ripples in a certain groove 10.8 cm from the...Ch. 15 - A 10.0-m-long wire of mass 152g is stretched under...Ch. 15 - A wave with a frequency of 220 Hz and a wavelength...Ch. 15 - Prob. 85GPCh. 15 - A highway overpass was observed to resonate as one...Ch. 15 - Prob. 87GPCh. 15 - Estimate the average power of a water wave when it...Ch. 15 - Prob. 89GPCh. 15 - Two wave pulses are traveling in opposite...Ch. 15 - Prob. 91GPCh. 15 - What frequency of sound would have a wavelength...Ch. 15 - (II) Consider a wave generated by the periodic...Ch. 15 - (II) The displacement of a bell-shaped wave pulse...
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- If the tension in a string were increased by a factor of four, by what factor would the wave speed of a wave on the string increase?arrow_forwardTo increase the intensity of a wave by a factor of 50, by what factor should the amplitude be increased?arrow_forward(I) (a) What resonant frequency would you expect from blowing across the top of an empty soda bottle that is 24 cm deep, if you assumed it was a closed tube? (b) How would that change if it was one-third full of soda?arrow_forward
- (II) A pipe in air at 23.0°C is to be designed to produce two successive harmonics at 280 Hz and 320 Hz. How long must the pipe be, and is it open or closed?arrow_forward(II) (a) At T= 22°C how long must an open organ pipe be to have a fundamental frequency of 294 Hz? (b) If this pipe is filled with helium, what is its fundamental frequency?arrow_forward(II) Your ears can accommodate a huge range of soundlevels. What is the ratio of highest to lowest intensity at(a) 100 Hz, (b) 5000 Hz? (See Fig. 12–6.)arrow_forward
- (I) AM radio signals have frequencies between 550 kHz and 1600 kHz (kilohertz) and travel with a speed of 3.0 x 108 m/s What are the wavelengths of these signals? On FM the frequencies range from 88 MHz to 108 MHz(megahertz) and travel at the same speed. What are their wavelengths?arrow_forward(II) A guitar string is 92 cm long and has a mass of 3.4 g.The distance from the bridge to the support post is l= 62cm and the string is under a tension of 520 N. What are the frequencies of the fundamental and first two overtones?arrow_forward(I) A piano tuner hears one beat every 2.0 s when trying toadjust two strings, one of which is sounding 350 Hz. Howfar off in frequency is the other string?arrow_forward
- (I) A violin string vibrates at 294 Hz when unfingered. At what frequency will it vibrate if it is fingered one-third of the way down from the end? (That is, only two-thirds of the string vibrates as a standing wave.)arrow_forward(ii) Explain the physical phenomenon occurring at the junction of two different strings of different materials but same diameter attached to each other when a harmonic wave is being propagated in the hybrid string.arrow_forward(II) The speed of waves on a string is 97 m/s If the frequency of standing waves is 475 Hz, how far apart are two adjacent nodes?arrow_forward
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