College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Chapter 17, Problem 55PE
The 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?
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(a) To appreciate the human ear’s twelve order of magnitude (10^12) span from barely audible to the pain threshold, consider the following. Suppose an equivalently dynamic instrument were designed to measure distances. Taking the lower limit of the instrument to be 1.00 mm, what would be the largest distance measurable? (b) To provide a perspective for the human ear’s frequency sensitivity range (audible frequency extremes differ by 10^3 ), consider a speedometer with a similar speed range. If the speedometer’s maximum speed reading is 90.0 mi/h, what is the smallest finite speed that it could register?
Find the range of wavelengths emitted by the bat in meters, by using that the speed of sound is c=343m/sec and the range of frequencies from 70 to 30KHz. The solution matches the range of sizes for an insect. What is the order of magnitude for this range? Take this order and call it L for the average size of an insect.
b) If the bat produces a power of P = 10^-5 watts and its hearing threshold is 10^-12 watts/m^2 what is the maximum distance from which the bat can detect an echo?
An individual can hear sound waves from 20 Hz to 20 kHz. If the speed of sound is 340 m/s, what is the wavelength limit of the highest frequency? Answer must be given in cm units.
Chapter 17 Solutions
College Physics
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