College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 14, Problem 8CQ
(i)
To determine
The harmonic number equals to the number of nodes or antinodes.
(ii)
To determine
The distance from a node to its adjacent antinode.
(iii)
To determine
The harmonic number of fundamental frequency.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Three pieces of string, each of length L, are joined together end to end, to make a combined string of length 3L. The first piece of string has a mass per unit length μ1, the second piece has a mass per unit length of 1/3μ1, and the third piece has a mass per unit length of 2μ1.
(a) If the combined string is under tension F, how much time does it take a transverse wave to travel the entire length of 3L? Give your answer in terms of L, F, and μ1.
(b) Does your answer to part (a) depend on the order in which the three pieces are joined together? Explain.
For a string stretched between two supports, two successive standing-wave frequencies are 525 Hz and 630 Hz. There are other standing-wave frequencies lower than 525 Hz and higher than 630 Hz. If the speed of transverse waves on the string is 384 m/s, what is the length of the string? Assume that the mass of the wire is small enough for its effect on the tension in the wire to be ignored.
In a first harmonic standing wave with fixed ends, the speed of sound in air is 340 m s–1, the length of the string is 1.60m and the speed of the wave on the string is 240 m s–1.
Calculate the wavelength of the sound in air when the string is oscillating at its fundamental frequency.
Chapter 14 Solutions
College Physics
Ch. 14.3 - Which of the following actions will increase the...Ch. 14.6 - Suppose youre on a hot air balloon ride, carrying...Ch. 14.6 - As an airplane flying with constant velocity moves...Ch. 14.8 - Which of the following frequencies are higher...Ch. 14.9 - Prob. 14.5QQCh. 14.10 - Prob. 14.6QQCh. 14.11 - You are tuning a guitar by comparing the sound of...Ch. 14 - (a) You are driving down the highway in your car...Ch. 14 - When dealing with sound intensities and decibel...Ch. 14 - Fill in the blanks with the correct values (to two...
Ch. 14 - Explain how the distance to a lightning bolt (Fig....Ch. 14 - Two cars are on the same straight road. Car A...Ch. 14 - Why does a vibrating guitar string sound louder...Ch. 14 - You are driving toward the base of a cliff and you...Ch. 14 - Prob. 8CQCh. 14 - Prob. 9CQCh. 14 - Prob. 10CQCh. 14 - An airplane mechanic notices that the sound from a...Ch. 14 - Suppose you hear a clap of thunder 16.2 s after...Ch. 14 - Earthquakes at fault lines in Earths crust create...Ch. 14 - On a hot summer day, the temperature of air in...Ch. 14 - A dolphin located in seawater at a temperature of...Ch. 14 - A group of hikers hears an echo 3.00 s after...Ch. 14 - The range of human hearing extends from...Ch. 14 - Prob. 7PCh. 14 - A stone is dropped from rest into a well. The...Ch. 14 - A hammer strikes one end of a thick steel rail of...Ch. 14 - A person standing 1.00 m from a portable speaker...Ch. 14 - The mating call of a male cicada is among the...Ch. 14 - The intensity level produced by a jet airplane at...Ch. 14 - One of the loudest sounds in recent history was...Ch. 14 - A sound wave from a siren has an intensity of...Ch. 14 - A person wears a hearing aid that uniformly...Ch. 14 - The area of a typical eardrum is about 5.0 105...Ch. 14 - The toadfish makes use of resonance in a closed...Ch. 14 - A trumpet creates a sound intensity level of 1.15 ...Ch. 14 - There is evidence that elephants communicate via...Ch. 14 - A family ice show is held at an enclosed arena....Ch. 14 - A train sounds its horn as it approaches an...Ch. 14 - An outside loudspeaker (considered a small source)...Ch. 14 - Show that the difference in decibel levels 1 and 2...Ch. 14 - A skyrocket explodes 100 m above the ground (Fig....Ch. 14 - The Doppler Effect A baseball hits a car, breaking...Ch. 14 - A train is moving past a crossing where cars are...Ch. 14 - A commuter train passes a passenger platform at a...Ch. 14 - An airplane traveling at half the speed of sound...Ch. 14 - Two trains on separate tracks move toward each...Ch. 14 - At rest, a cars horn sounds the note A (440 Hz)....Ch. 14 - An alert physics student stands beside the tracks...Ch. 14 - A bat flying at 5.00 m/s is chasing an insect...Ch. 14 - A tuning fork vibrating at 512 Hz falls from rest...Ch. 14 - Expectant parents are thrilled to hear their...Ch. 14 - A supersonic jet traveling at Mach 3.00 at an...Ch. 14 - A yellow submarine traveling horizontally at 11.0...Ch. 14 - Two cars are stuck in a traffic jam and each...Ch. 14 - The acoustical system shown in Figure P14.38 is...Ch. 14 - Prob. 39PCh. 14 - Prob. 40PCh. 14 - A pair of speakers separated by a distance d =...Ch. 14 - Prob. 42PCh. 14 - A stretched string fixed at each end has a mass of...Ch. 14 - Prob. 44PCh. 14 - A stretched string of length L is observed to...Ch. 14 - A distance of 5.00 cm is measured between two...Ch. 14 - A steel wire with mass 25.0 g and length 1.35 m is...Ch. 14 - Prob. 48PCh. 14 - A 12.0-kg object hangs in equilibrium from a...Ch. 14 - In the arrangement shown in Figure P14.50, an...Ch. 14 - Prob. 51PCh. 14 - Standing-ware vibrations are set up in a crystal...Ch. 14 - A cars 30.0-kg front tire is suspended by a spring...Ch. 14 - Prob. 54PCh. 14 - Prob. 55PCh. 14 - The overall length of a piccolo is 32.0 cm. The...Ch. 14 - The human ear canal is about 2.8 cm long. If it is...Ch. 14 - A tunnel under a river is 2.00 km long. (a) At...Ch. 14 - A pipe open at both ends has a fundamental...Ch. 14 - The adjacent natural frequencies of an organ pipe...Ch. 14 - A guitarist sounds a tuner at 196 Hz while his...Ch. 14 - Two nearby trumpets are sounded together and a...Ch. 14 - Prob. 63PCh. 14 - The G string on a violin has a fundamental...Ch. 14 - Two train whistles have identical frequencies of...Ch. 14 - Two pipes of equal length are each open at one...Ch. 14 - A student holds a tuning dork oscillating at 256...Ch. 14 - Prob. 68PCh. 14 - Some studies suggest that the upper frequency...Ch. 14 - A typical sound level for a buzzing mosquito is 40...Ch. 14 - Assume a 150 W loudspeaker broadcasts sound...Ch. 14 - Two small loudspeakers emit sound waves of...Ch. 14 - An interstate highway has been built through a...Ch. 14 - Prob. 74APCh. 14 - Prob. 75APCh. 14 - Prob. 76APCh. 14 - On a workday, the average decibel level of a busy...Ch. 14 - Prob. 78APCh. 14 - A block with a speaker bolted to it is connected...Ch. 14 - A student stands several meters in front of a...Ch. 14 - Prob. 81APCh. 14 - A 0.500-m-long brass pipe open at both ends has a...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- By what factor would you have to multiply the tension in a stretched string so as to double the wave speed? Assume the string does not stretch. (a) a factor of 8 (b) a factor of 4 (c) a factor of 2 (d) a factor of 0.5 (e) You could not change the speed by a predictable factor by changing the tension.arrow_forwardA source vibrating at constant frequency generates a sinusoidal wave on a string under constant tension. If the power delivered to the string is doubled, by what factor does the amplitude change? (a) a factor of 4 (b) a factor of 2 (c) a factor of 2 (d) a factor of 0.707 (e) cannot be predictedarrow_forwardA string with a mass of 0.30 kg has a length of 4.00 m. If the tension in the string is 50.00 N, and a sinusoidal wave with an amplitude of 2.00 cm is induced on the string, what must the frequency be for an average power of 100.00 W?arrow_forward
- A taut rope has a mass of 0.180 kg and a length of 3.60 m. What power must be supplied to the rope so as to generate sinusoidal waves having an amplitude of 0.100 m and a wavelength of 0.500 m and traveling with a speed of 30.0 m/s?arrow_forwardTwo sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)arrow_forwardThe wave function for a pulse on a rope is given by y(x,t)=0.43(x13.6t)2+1 where all constants are in the appropriate SI units. Sketch the wave profile for a. the incident pulse, b. the reflected pulse if the end is free, and c. the reflected pulse if the end is fixed.arrow_forward
- A standing wave on a string fixed at both ends is vibrating at its fourth harmonic. If the length, tension, and linear density are kept constant, what can be said about the wavelength and frequency of the fifth harmonic relative to the fourth harmonic? (a) The wavelength of the fifth harmonic is longer, and its frequency is higher. (b) The wavelength of the fifth harmonic is longer, and its frequency is lower. (c) The wavelength of the fifth harmonic is shorter, and its frequency is higher. (d) The wavelength of the fifth harmonic is shorter, and its frequency is lower.arrow_forwardYou have a string with a mass of 0.0127 kg.0.0127 kg. You stretch the string with a force of 8.43 N,8.43 N, giving it a length of 1.97 m.1.97 m. Then, you vibrate the string transversely at precisely the frequency that corresponds to its fourth normal mode; that is, at its fourth harmonic. What is the wavelength ?4λ4 of the standing wave you create in the string? What is the frequency ?4?arrow_forwardA steel wire with mass 25.4 g and length 1.30 m is strung on a bass so that the distance from the nut to the bridge is 1.10 m. (a) Compute the linear density of the string._______ kg/m(b) What velocity wave on the string will produce the desired fundamental frequency of the E1 string, 41.2 Hz? ________m/s(c) Calculate the tension required to obtain the proper frequency. ________N(d) Calculate the wavelength of the string's vibration. ________m(e) What is the wavelength of the sound produced in air? (Assume the speed of sound in air is 343 m/s.) _________marrow_forward
- One end of a horizontal rope is attached to a prong of an electrically driven tuning fork that vibrates the rope transversely at 120 HzHz. The other end passes over a pulley and supports a 1.50 kg mass. The linear mass density of the rope is 0.0580 kg/m. What is the speed of a transverse wave on the rope if the mass were increased to 3.00 kg? Express your answer with the appropriate units. What is the wavelength of a transverse wave on the rope if the mass were increased to 3.00 kg? Express your answer with the appropriate units.arrow_forwardA string of mass 6 grams is stretched to a length of 1.7 meters and fastened at both end so that it can freely vibrate. The tension on the string is 1900 Newtons.What is the wavelength of the first harmonic (also called the fundamental frequency) of standing wave created by the vibrating string? m What is the wavelength of the third harmonic of standing wave created by the vibrating string? marrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning