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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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(II) A guitar string produces 3 beats /s when sounded witha 350-Hz tuning fork and 8 beats/s when sounded with a355-Hz tuning fork. What is the vibrational frequency of thestring? Explain your reasoning.arrow_forward
- A truck sounds a horn with a frequency of 115 Hz as it approaches a cliff. The speed of the truck is 10.5 m s–1. Given the speed of sound in air is 346 m s–1. (i) The truck driver hears the echo from the base of the cliff. Calculate the frequency heard by the truck driver.arrow_forward(III) When a player's finger presses a guitar string down onto a fret, the length of the vibrating portion of the string is shortened, thereby increasing the string's fundamental frequency (see Fig. 12–36). The string's tension and mass per unit length remain unchanged. If the unfingered length of the string is l = 75.0 cm, determine the positions x of the first six frets, if each fret raises the pitch of the fundamental by one musical note compared to the neighboring fret. On the equally tempered chromatic scale, the ratio of frequencies of neighboring notes is 21/12 FIGURE 12–36 Problem 43. l = 75.0 cmarrow_forward(I) A particular string resonates in four loops at a frequency of 240 Hz. Give at least three other frequencies at which it will resonate. What is each called?arrow_forward
- (c) Fundamental vibration of a tube open at both ends has wavelength of 24 cm. What is the wavelength of fundamental vibration of this tube if one of its ends is closed?arrow_forward(II) Two piano strings are supposed to be vibrating at 220 Hz, but a piano tuner hears three beats every 2.5 s when they are played together. (a) If one is vibrating at 220.0 Hz, what must be the frequency of the other (is there only one answer)? (b) By how much (in percent) must the tension beincreased or decreased to bring them in tune?arrow_forward(II) An ocean fishing boat is drifting just above a school of tuna on a foggy day. Without warning, an engine backfire occurs on another boat 1.55 km away (Fig. 12–33). How much time elapses before the backfire is heard (a) by the fish, and (b) by the fishermen? (b) _1.55 km (a) FIGURE 12-33 Problem 5.arrow_forward
- (c) Opening holes in the side effectively shortens the length of the resonant column. If the highest note a piccolo can sound is 39.4 kHz, find the distance between adjacent antinodes for this mode of vibration. Assume the speed of sound is 343 m/s.arrow_forwardA string 2m long has a mass of 1.2kg X 10-4 kg and is stretched by a force of 100N. (a) What is the frequency of the fundamental vibrations? (b) What are the frequencies of the first four harmonics?arrow_forward(3) A 25.0-g string is stretched with a tension of 43.0 N between two fixed points 12.0 m apart. What is the frequency of the second harmonic? (You’ll have to study the relations of wavelength, length of string, frequency, and velocity of standing waves on a string (§14-8 of our textbook).arrow_forward
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