Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337671729
Author: SERWAY
Publisher: Cengage
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Chapter 17, Problem 22P
Ever 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 P17.22
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Certain species of mice have a threshold of hearing below that of humans.
Suppose you're sitting on a grassy knoll relaxing in the sunlight on a beautiful spring day out in the country. The air is still, and it's quiet. A bird is on the grass about two meters behind you and makes a faint rustling sound in the grass, and the sound is just barely at the threshold of your hearing. At the same time, the mouse whose hearing threshold is −3dB is somewhere nearby, and the rustling sound is also at the threshold of its hearing. How far (in meters) is the mouse from the bird?
(To check your answer, ask yourself if you expected the mouse to be further from or closer to the bird than you. Why?)
Sound is detected when a sound wave causes the eardrum to vibrate (as shown). Typically, the diameter of the eardrum is about 8.4 mm in humans. When someone speaks to you in a normal tone of voice, the sound intensity at your ear is approximately 1.0 × 10-6 W/m2. How much energy is delivered to your eardrum each second?
Item 9
Learning Goal:
To learn the properties of logarithms and how to manipulate them when
solving sound problems.
The intensity of sound is the power of the sound waves divided by the area
on which they are incident. Intensity is measured in watts per square meter,
or W/m².
The human ear can detect a remarkable range of sound intensities. The
quietest sound that we can hear has an intensity of 10-¹2 W/m², and we
begin to feel pain when the intensity reaches 1 W/m². Since the
intensities that matter to people in everyday life cover a range of 12 orders
of magnitude, intensities are usually converted to a logarithmic scale called
the sound intensity level 3, which is measured in decibels (dB). For a given
sound intensity I, B is found from the equation
ß = (10 dB) log (1).
where Io = 1.0 × 10-¹2 W/m².
Part A
What is the value of log(1,000,000)?
Express your answer as an integer.
► View Available Hint(s)
The logarithm of x, written log(x), tells you the power to which you would raise 10…
Chapter 17 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 17.1 - Prob. 17.1QQCh. 17.2 - Consider the waves in Figure 17.8 to be waves on a...Ch. 17.4 - When a standing wave is set up on a string fixed...Ch. 17.6 - Prob. 17.4QQCh. 17.6 - Prob. 17.5QQCh. 17 - Two waves on one string are described by the wave...Ch. 17 - Two pulses of different amplitudes approach each...Ch. 17 - Two wave pulses A and B are moving in opposite...Ch. 17 - Why is the following situation impossible? Two...Ch. 17 - Two pulses traveling on the same string are...
Ch. 17 - Two identical loudspeakers 10.0 m apart are driven...Ch. 17 - Two sinusoidal waves on a string are defined by...Ch. 17 - Prob. 8PCh. 17 - Prob. 9PCh. 17 - Prob. 10PCh. 17 - Prob. 11PCh. 17 - Prob. 12PCh. 17 - A string that is 30.0 cm long and has a mass per...Ch. 17 - Prob. 14PCh. 17 - Review. A sphere of mass M = 1.00 kg is supported...Ch. 17 - Prob. 16PCh. 17 - Prob. 17PCh. 17 - Prob. 18PCh. 17 - Prob. 19PCh. 17 - Prob. 20PCh. 17 - The fundamental frequency of an open organ pipe...Ch. 17 - Ever since seeing Figure 16.22 in the previous...Ch. 17 - An air column in a glass tube is open at one end...Ch. 17 - Prob. 24PCh. 17 - Prob. 25PCh. 17 - Prob. 26PCh. 17 - As shown in Figure P17.27, water is pumped into a...Ch. 17 - As shown in Figure P17.27, water is pumped into a...Ch. 17 - Prob. 29PCh. 17 - Prob. 30PCh. 17 - Prob. 31PCh. 17 - Prob. 32PCh. 17 - Prob. 33PCh. 17 - Prob. 34APCh. 17 - Prob. 35APCh. 17 - A 2.00-m-long wire having a mass of 0.100 kg is...Ch. 17 - Prob. 37APCh. 17 - Prob. 38APCh. 17 - Prob. 39APCh. 17 - Review. For the arrangement shown in Figure...Ch. 17 - Prob. 41APCh. 17 - Two speakers are driven by the same oscillator of...Ch. 17 - Prob. 43APCh. 17 - Prob. 44APCh. 17 - Prob. 45APCh. 17 - Prob. 46APCh. 17 - Review. A 12.0-kg object hangs in equilibrium from...Ch. 17 - Review. An object of mass m hangs in equilibrium...Ch. 17 - Prob. 49APCh. 17 - Prob. 50CP
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