University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Chapter 17, Problem 76P
If a woman needs an amplification of
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If a woman needs an amplification of 5.0X1012 times the threshold intensity to enable her to hear at all frequencies, what is her overall hearing loss in dB? Note that smaller amplification is appropriate for more intense sounds to avoid further damage to her hearing from levels above 90 dB.
Suppose a person has a 50-dB hearing loss at all frequencies. By how many factors of 10 will low-intensity sounds need to be amplified to seem normal to this person?Note that smaller amplification is appropriate for more intense sounds to avoid further hearing damage.
Your ears are sensitive to differences in pitch, but they are not very sensitive to differences in intensity. You are not capable of detecting a difference in sound intensity level of less than 1 dB. By what factor does the sound intensity increase if the sound intensity level increases from 60 dB to 61 dB?
Chapter 17 Solutions
University Physics Volume 1
Ch. 17 - Check Your Understanding Imagine you observe two...Ch. 17 - Check Your Understanding Identify common sounds at...Ch. 17 - Check Your Understanding Describe how amplitude is...Ch. 17 - Check Your Understanding If you walk around two...Ch. 17 - Check Your Understanding Describe how...Ch. 17 - Check Your Understanding How is it possible to use...Ch. 17 - Check Your Understanding You observe two musical...Ch. 17 - Check Your Understanding What would happen if more...Ch. 17 - Check Your Understanding Describe a situation in...Ch. 17 - What is the difference between sound and hearing?
Ch. 17 - You will learn that light is an electromagnetic...Ch. 17 - Sound waves can be modeled as a change in...Ch. 17 - How do sound vibrations of atoms differ from...Ch. 17 - When sound passes from one medium to another where...Ch. 17 - A popular party trick is to inhale helium and...Ch. 17 - You may have used a sonic range finder in lab to...Ch. 17 - The sonic range finder discussed in the preceding...Ch. 17 - Six members of a synchronized swim team wear...Ch. 17 - A community is concerned about a plan to bring...Ch. 17 - You are given two wind instruments of identical...Ch. 17 - What is the difference between an overtone and a...Ch. 17 - Two identical columns, open at both ends, are in...Ch. 17 - How does an unamplified guitar produce sounds so...Ch. 17 - Consider three pipes of the same length (L). Pipe...Ch. 17 - Pipe A has a length L and is open at both ends....Ch. 17 - A string is tied between two lab posts a distance...Ch. 17 - Two speakers are attached to variable-frequency...Ch. 17 - The label has been scratched off a tuning fork and...Ch. 17 - Referring to the preceding question, if you had...Ch. 17 - A “showy” custom-built car has two brass horns...Ch. 17 - Is the Doppler shift real or just a sensory...Ch. 17 - Three stationary observers observe the Doppler...Ch. 17 - Shown below is a stationary source and moving...Ch. 17 - Prior to 1980, conventional radar was used by...Ch. 17 - What is the difference between a sonic boom and a...Ch. 17 - Due to efficiency considerations related to its...Ch. 17 - When you hear a sonic boom, you often cannot see...Ch. 17 - Consider a sound wave modeled with the equation...Ch. 17 - Consider a sound wave moving through the air...Ch. 17 - Consider a diagnostic ultrasound of frequency 5.00...Ch. 17 - A sound wave is modeled as...Ch. 17 - A sound wave is modeled with the wave function...Ch. 17 - The displacement of the air molecules in sound...Ch. 17 - A speaker is placed at the opening of a long...Ch. 17 - A 250-Hz tuning fork is struck and begins to...Ch. 17 - A sound wave produced by an ultrasonic transducer,...Ch. 17 - Porpoises emit sound waves that they use for...Ch. 17 - Bats use sound waves to catch insects. Bats can...Ch. 17 - A bat sends of a sound wave 100 kHz and the sound...Ch. 17 - Consider the graph shown below of a compression...Ch. 17 - Consider the graph in the preceding problem of a...Ch. 17 - A guitar string oscillates at a frequency of 100...Ch. 17 - When poked by a spear, an operatic soprano lets...Ch. 17 - What frequency sound has a 0.10-m wavelength when...Ch. 17 - Calculate the speed of sound on a day when a...Ch. 17 - (a) What is the speed of sound in a medium where a...Ch. 17 - Show that the speed of sound in 20.0°C air is 343...Ch. 17 - Air temperature in the Sahara Desert can reach...Ch. 17 - Dolphins make sounds in air and water. What is the...Ch. 17 - A sonar echo returns to a submarine 1.20 s after...Ch. 17 - (a) If a submarine’s sonar can measure echo times...Ch. 17 - Ultrasonic sound waves are often used in methods...Ch. 17 - A physicist at a fireworks display times the lag...Ch. 17 - During a 4th of July celebration, an M80 firework...Ch. 17 - The density of a sample of water is =998.00kg/m3...Ch. 17 - Suppose a bat uses sound echoes to locate its...Ch. 17 - What is the intensity in watts per meter squared...Ch. 17 - The warning tag on a lawn mower states that it...Ch. 17 - A sound wave traveling in air has a pressure...Ch. 17 - What intensity level does the sound in the...Ch. 17 - What sound intensity level in dB is produced by...Ch. 17 - What is the decibel level of a sound that is twice...Ch. 17 - What is the intensity of a sound that has a level...Ch. 17 - People with good hearing can perceive sounds as...Ch. 17 - If a large housefly 3.0 m away from you makes a...Ch. 17 - Ten cars in a circle at a boom box competition...Ch. 17 - The amplitude of a sound wave is measured in terms...Ch. 17 - If a sound intensity level of 0 dB at 1000 Hz...Ch. 17 - An 8-hour exposure to a sound intensity level of...Ch. 17 - Sound is more effectively transmitted into a...Ch. 17 - Loudspeakers can produce intense sounds with...Ch. 17 - The factor of 10-12 in the range of intensities to...Ch. 17 - What are the closest frequencies to 500 Hz that an...Ch. 17 - YY13Can you tell that your roommate turned up the...Ch. 17 - If a woman needs an amplification of 5.0105 times...Ch. 17 - A person has a hearing threshold 10 dB above...Ch. 17 - (a) What is the fundamental frequency of a...Ch. 17 - What is the length of a tube that has a...Ch. 17 - The ear canal resonates like a tube closed at one...Ch. 17 - Calculate the first overtone in an ear canal,...Ch. 17 - A crude approximation of voice production is to...Ch. 17 - A 4.0-m-long pipe, open at one end and closed at...Ch. 17 - A 4.0-m-long pipe, open at both ends, is placed in...Ch. 17 - A nylon guitar string is fixed between two lab...Ch. 17 - A 512-Hz tuning fork is struck and placed next to...Ch. 17 - Students in a physics lab are asked to find the...Ch. 17 - If a wind instrument, such as a tuba, has a...Ch. 17 - What are the first three overtones of a bassoon...Ch. 17 - How long must a flute be in order to have a...Ch. 17 - What length should an oboe have to produce a...Ch. 17 - (a) Find the length of an organ pipe closed at one...Ch. 17 - An organ pipe (L=3.00m) is closed at both ends....Ch. 17 - An organ pipe (L=3.00m) is closed at one end....Ch. 17 - A sound wave of a frequency of 2.00 kHz is...Ch. 17 - Consider the sound created by resonating the tube...Ch. 17 - A student holds an 80.00-cm lab pole one quarter...Ch. 17 - A string on the violin has a length of 24.00 cm...Ch. 17 - By what fraction will the frequencies produced by...Ch. 17 - What beat frequencies are present: (a) If the...Ch. 17 - What beat frequencies result if a piano hammer...Ch. 17 - A piano tuner hears a beat every 2.00 s when...Ch. 17 - Two identical strings, of identical lengths of...Ch. 17 - A piano tuner uses a 512-Hz tuning fork to tune a...Ch. 17 - A string with a linear mass density of =0.0062...Ch. 17 - A car has two horns, one emitting a frequency of...Ch. 17 - The middle C hammer of a piano hits two strings,...Ch. 17 - Two tuning forks having frequencies of 460 and 464...Ch. 17 - Twin jet engines on an airplane are producing an...Ch. 17 - Three adjacent keys on a piano (F, F-sharp, and G)...Ch. 17 - (a) What frequency is received by a person...Ch. 17 - (a) At an air show a jet flies directly toward the...Ch. 17 - What frequency is received by a mouse just before...Ch. 17 - A spectator at a parade receives an 888-Hz tone...Ch. 17 - A commuter train blows its 200-Hz horn as it...Ch. 17 - Can you perceive the shift in frequency produced...Ch. 17 - Two eagles fly directly toward one another, the...Ch. 17 - Student A runs down the hallway of the school at a...Ch. 17 - An ambulance with a siren (f=1.00kHz) blaring is...Ch. 17 - The frequency of the siren of an ambulance is 900...Ch. 17 - What is the minimum speed at which a source must...Ch. 17 - An airplane is flying at Mach 1.50 at an altitude...Ch. 17 - A jet flying at an altitude of 8.50 km has a speed...Ch. 17 - The shock wave off the front of a fighter jet has...Ch. 17 - A plane is flying at Mach 1.2, and an observer on...Ch. 17 - A bullet is fired and moves at a speed of 1342...Ch. 17 - A speaker is placed at the opening of a long...Ch. 17 - An airplane moves at Mach 1.2 and produces a shock...Ch. 17 - A 0.80-m-long tube is opened at both ends. The air...Ch. 17 - A tube filled with water has a valve at the bottom...Ch. 17 - Consider the following figure. The length of the...Ch. 17 - Early Doppler shift experiments were conducted...Ch. 17 - Two cars move toward one another, both sounding...Ch. 17 - Student A runs after Student B. Student A carries...Ch. 17 - Suppose that the sound level from a source is 75...Ch. 17 - The Doppler shift for a Doppler radar is found by...Ch. 17 - A stationary observer hears a frequency of 1000.00...Ch. 17 - A flute plays a note with a frequency of 600 Hz....Ch. 17 - Two sound speakers are separated by a distance d,...Ch. 17 - Consider the beats shown below. This is a graph of...Ch. 17 - Two speakers producing the same frequency of sound...Ch. 17 - A string has a length of 1.5 m, a linear mass...Ch. 17 - A string (=0.006kgm,L=1.50m) is fixed at both ends...Ch. 17 - A string has a linear mass density µ, a length L,...Ch. 17 - A string has a linear mass density =0.007 kg/m, a...Ch. 17 - A speaker powered by a signal generator is used to...Ch. 17 - A string on the violin has a length of 23.00 cm...
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- Why can a hearing test show that your threshold of hearing is 0 dB at 250 Hz, when Figure 17.37 implies that no one can hear such a frequency at less than 20 dB? Figure 17.37 The shaded region represents frequencies and intensity levels found in normal conversational speech. The O-phon line represents the normal hearing threshold, while those at 40 and 60 represent thresholds for people with 40- and 60-phon hearing losses, respectively.arrow_forwardBased on the graph in Figure 17.36, what is the threshold of hearing in decibels for frequencies of 60, 400, 1000, 4000, and 15,000 Hz? Note that many AC electrical appliances produce 60 Hz, music is commonly 400 Hz, a reference frequency is 1000 Hz, your maximum sensitivity is near 4000 Hz, and many older TVs produce a 15,750 Hz whine. Figure 17.36 The relationship of loudness in phons to intensity level (in decibels) and intensity (in watts per meter squared) for persons with normal hearing. The curved lines are equal-loudness curves—all sounds on a given curve are perceived as equally loud. Phons and decibels are defined to be the same at 1000 Hz.arrow_forwardThe area of a typical eardrum is about 5.0 105 m2. Calculate the sound power (the energy per second) incident on an eardrum at (a) the threshold of hearing and (b) the threshold of pain.arrow_forward
- An 8-hour exposure to a sound intensity level of 90.0 dB may cause hearing damage. What energy in joules falls on a 0.800-cm-diameter eardrum so exposed?arrow_forwardThe area of a typical eardrum is about 5.00 X 10-5 m2. (a) (Calculate the average sound power incident on an eardrum at the threshold of pain, which corresponds to an intensity of 1.00 W/m2. (b) How much energy is transferred to the eardrum exposed to this sound lor 1.00 mill?arrow_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
- Loudspeakers can produce intense sounds with surprisingly small energy input in spite of their low efficiencies. Calculate the power input needed to produce a 90.0—dB sound intensity level for a 12.0-cm-diameter speaker that has an eficiency of 1.00%. (This value is the sound intensity level right at the Speaker.)arrow_forwardA person has a hearing threshold 10 dB above normal at 100 Hz and 50 dB above normal at 4000 Hz. How much more intense must a 100-Hz tone be than a 4000-Hz tone if they are both barely audible to this person?arrow_forwardEver since seeing Figure 16.22 in the previous chapter, you have been fascinated with the hearing response in humans. You have set up an apparatus that allows you to determine your own threshold of hearing as a function of frequency. After performing the experiment and recording the results, you graph the results, which look like Figure P17.22. You are intrigued by the two dips in the curve at the right-hand side of the graph. You measure carefully and find that the minimum values of these dips occur at 3 800 Hz and 11 500 Hz. Performing some online research, you discover that the outer canal of the human ear can be modeled as an air column open at the outer end and closed at the inner end by the eardrum. You use this information to determine the length of the outer canal in your car. Figure P17.22arrow_forward
- Check Your Understanding Identify common sounds at the levels of 10 dB, 50 dB, and 100 dB.arrow_forwardThe bulk modulus of water is 2.2 109 Pa (Table 15.2). The density of water is 103 kg/m3 (Table 15.1). Find the speed of sound in water and compare your answer with the value given in Table 17.1.arrow_forwardA piano tuner hears a beat every 2.00 s when listening to a 264.0-Hz tuning fork and a single piano string. What are the two possible frequencies of the string?arrow_forward
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