College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 14, Problem 68P
To determine
The length of the human ear canal.
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If a human ear canal can be thought of as resembling an organ pipe, closed at one end, that resonates at a fundamental frequency of 3.0 x 103 Hz, what is the length of the canal? Use a normal body temperature of 37.0°C for your determination of the speed of sound in the canal.
Some studies suggest that the upper frequency limit of hearing is determined by the diameter of the eardrum. The wavelength of the sound wave and the diameter of the eardrum are approximately equal at this upper limit. If the relationship holds exactly, what is the diameter of the eardrum of a person capable of hearing 2.00 x 104 Hz? (Assume a body temperature of 37.0°C.)
A sound wave arriving at your ear is transferred to the fluid in the cochlea. If the intensity in the fluid is 0.410 times that in air and the frequency is the same as for the wave in air, what will be the ratio of the pressure amplitude of the wave in air to that in the fluid? Approximate the fluid as having the same values of density and speed of sound as water. Speed of sound in dry air (20.0°C, 1.00 atm) is 343 m/s, density of dry air (at STP) is 1.29 kg/m3, density of water is 1000 kg/m3, and speed of sound in water is 1493 m/s.
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...
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- A pipe is observed to have a fundamental frequency of 345 Hz. Assume the pipe is filled with air (v = 343 m/s). What is the length of the pipe if the pipe is a. closed at one end and b. open at both ends?arrow_forwardA flute has a length of 58.0 cm. If the speed of sound in air is 343 m/s, what is the fundamental frequency of the flute, assuming it is a tube closed at one end and open at the other? (a) 148 Hz (b) 296 Hz (c) 444 Hz (d) 591 Hz (e) none of those answersarrow_forwardA sound wave in air has a pressure amplitude equal to 4.00 103 Pa. Calculate the displacement amplitude of the wave at a frequency of 10.0 kHz.arrow_forward
- Some studies suggest that the upper frequency limit of hearing is determined by the diameter of the eardrum. The wavelength of the sound wave and the diameter of the eardrum are approximately equal at this upper limit. If the relationship holds exactly, what is the diameter of the eardrum of a person capable of hearing 20 000 Hz? (Assume a body temperature of 37.0C.)arrow_forwardAt t = 0, a transverse pulse in a wire is described by the function y=6.00x2+3.00 where xand y are in meters. If the pulse is traveling in the positive x direction with a speed of 4.50 m/s, write the function y(x, t) that describes this pulse.arrow_forwardWrite an expression that describes the pressure variation as a function of position and time for a sinusoidal sound wave in air. Assume the speed of sound is 343 m/s, = 0.100 m, and Pmax = 0.200 Pa.arrow_forward
- As you travel down the highway in your car, an ambulance approaches you from the rear at a high speed (Fig. OQ13.15) sounding its siren at a frequency of 500 Hz. Which statement is correct? (a) You hear a frequency less than 500 Hz. (b) You hear a frequency equal to 500 Hz. (c) You hear a frequency greater than 500 Hz. (d) You hear a frequency greater than 500 Hz, whereas the ambulance driver hears a frequency lower than 500 Hz. (e) You hear a frequency less than 500 Hz, whereas the ambulance driver hears a frequency of 500 Hz. Figure OQ13.15arrow_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 equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0 sin (1.5x 45t), where x and y are in meters and the time t is in seconds. a. In what direction is the wave propagating? be. N What are the b. amplitude, c. wavelength, d. frequency, and e. propagation speed of the wave?arrow_forward
- A sound wave can be characterized as (a) a transverse wave, (b) a longitudinal wave, (c) a transverse wave or a longitudinal wave, depending on the nature of its source, (d) one that carries no energy, or (e) a wave that does not require a medium to be transmitted from one place to the other.arrow_forwardWhy is the following situation impossible? A student is listening to the sounds from an air column that is 0.730 m long. He doesnt know if the column is open at both ends or open at only one end. He hears resonance from the air column at frequencies 235 Hz and 587 Hz.arrow_forwardReview. A sphere of mass M = 1.00 kg is supported by a string that passes over a pulley at the end of a horizontal rod of length L = 0.300 m (Fig. P17.15). The string makes an angle = 35.0 with the rod. The fundamental frequency of standing waves in the portion of the string above the rod is f = 60.0 Hz. Find the mass of the portion of the string above the rod. Figure P17.15 Problems 15 and 16.arrow_forward
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