General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Chapter 22, Problem 18E
(a)
To determine
The frequency of the sound detected by the ear.
(b)
To determine
The frequency of sound compared with the frequency of minimum of threshold of hearing curve.
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The area of a typical eardrum is about 5.0 x 105 m2,
(a) Calculate the sound power (the energy per second) incident on an eardrum at the threshold of hearing.
(b) Calculate the sound power incident on an eardrum at the threshold of pain.
Calculate the increase in sound level resulting from using an ear trumpet to aid in hearing. Take the effective area of the trumpet to be 900 cm2 , the eardrum’s area to be 0.500 cm2 , and assume the trumpet is 5.00% efficient in routing the sound to the eardrum. Comment.
The area of a typical eardrum is about 5.0x10−5 m2.
What is the sound power (energy per second) incident on the eardrum at the threshold of hearing?
What is the sound power (energy per second) incident on the eardrum at the threshold for pain?
Chapter 22 Solutions
General Physics, 2nd Edition
Ch. 22 - Prob. 1RQCh. 22 - Prob. 2RQCh. 22 - Prob. 3RQCh. 22 - Prob. 4RQCh. 22 - Prob. 5RQCh. 22 - Prob. 6RQCh. 22 - Prob. 7RQCh. 22 - Prob. 8RQCh. 22 - Prob. 9RQCh. 22 - Prob. 10RQ
Ch. 22 - Prob. 11RQCh. 22 - Prob. 1ECh. 22 - Prob. 2ECh. 22 - Prob. 3ECh. 22 - Prob. 4ECh. 22 - Prob. 5ECh. 22 - Prob. 6ECh. 22 - Prob. 7ECh. 22 - Prob. 8ECh. 22 - Prob. 9ECh. 22 - Prob. 10ECh. 22 - Prob. 11ECh. 22 - Prob. 12ECh. 22 - Prob. 13ECh. 22 - Prob. 14ECh. 22 - Prob. 15ECh. 22 - Prob. 16ECh. 22 - Prob. 17ECh. 22 - Prob. 18ECh. 22 - Prob. 19ECh. 22 - Prob. 20ECh. 22 - Prob. 21ECh. 22 - Prob. 22ECh. 22 - Prob. 23ECh. 22 - Prob. 24ECh. 22 - Prob. 25ECh. 22 - Prob. 26ECh. 22 - Prob. 27ECh. 22 - Prob. 28ECh. 22 - Prob. 29ECh. 22 - Prob. 30ECh. 22 - Prob. 31ECh. 22 - Prob. 32ECh. 22 - Prob. 34ECh. 22 - Prob. 35ECh. 22 - Prob. 36ECh. 22 - Prob. 37ECh. 22 - Prob. 38ECh. 22 - Prob. 39ECh. 22 - Prob. 40ECh. 22 - Prob. 41ECh. 22 - Prob. 42ECh. 22 - Prob. 43ECh. 22 - Prob. 44ECh. 22 - Prob. 45ECh. 22 - Prob. 46ECh. 22 - Prob. 47ECh. 22 - Prob. 48ECh. 22 - Prob. 49ECh. 22 - Prob. 50ECh. 22 - Prob. 51ECh. 22 - Prob. 52ECh. 22 - Prob. 53ECh. 22 - Prob. 54ECh. 22 - Prob. 55ECh. 22 - Prob. 56ECh. 22 - Prob. 57ECh. 22 - Prob. 58ECh. 22 - Prob. 59ECh. 22 - Prob. 60ECh. 22 - Prob. 61ECh. 22 - Prob. 62ECh. 22 - Prob. 63ECh. 22 - Prob. 64ECh. 22 - Prob. 65ECh. 22 - Prob. 66ECh. 22 - Prob. 67ECh. 22 - Prob. 68ECh. 22 - Prob. 69E
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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_forwardCheck Your Understanding Identify common sounds at the levels of 10 dB, 50 dB, and 100 dB.arrow_forward
- The 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_forwardAn 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 factor of 10-12 in the range of intensities to which the ear can respond, from threshold to that causing damage after brief exposure, is truly remarkable. If you could measure distances over the same range with a single instrument and the smallest distance you could measure was 1 mm, what would the largest be?arrow_forward
- If a sound intensity level of 0 dB at 1000 Hz corresponds to a maximum gauge pressure (sound amplitude) of 10-9 atm , what is the maximum gauge pressure in a 60-dB sound? What is the maximum gauge pressure in a 120-dB sound?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_forwardIf a woman needs an amplification of 5.0105 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.arrow_forward
- A 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_forward(a) What is the speed of sound in a medium where a 100-kHz frequency produces a 5.96-cm wavelength? (b) Which substance in Table 17.1 is this likely to be?arrow_forwardThe “ears” of a frog are two circular membranes locatedbehindthe frog’s eyes. In one species of frog each membrane is 0.500 cmin radius. If a source of sound has a power output of 2.50 * 10-6 W,emits sound equally in all directions, and is located 1.50 m from thefrog, how much sound energy arrives at one of the membranes eachsecond?arrow_forward
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