Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 16, Problem 45AP
To determine
The diameter of the eardrum.
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Some studies suggest that the upper frequency limit of hearing is determined by the diameter of the eardrum. The diameter of the eardrum is approximately equal to half the wavelength of the sound wave 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 37.0°C.)
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 with intensity 2 x 10 -3 W/m2 is perceived to be modestly loud. Your eardrum is 6 mm in diameter. How much energy will be transferred to your eardrum while listening to this sound for 1 minute?
Chapter 16 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 16.1 - Prob. 16.1QQCh. 16.2 - A sinusoidal wave of frequency f is traveling...Ch. 16.2 - The amplitude of a wave is doubled, with no other...Ch. 16.3 - Suppose you create a pulse by moving the free end...Ch. 16.4 - Which of the following, taken by itself, would be...Ch. 16.6 - If you blow across the top of an empty soft-drink...Ch. 16.8 - A vibrating guitar string makes very little sound...Ch. 16.8 - Increasing the intensity of a sound by a factor of...Ch. 16.9 - Consider detectors of water waves at three...Ch. 16.9 - You stand on a platform at a train station and...
Ch. 16.9 - An airplane flying with a constant velocity moves...Ch. 16 - A seismographic station receives S and P waves...Ch. 16 - Two points A and B on the surface of the Earth are...Ch. 16 - You are working for a plumber who is laying very...Ch. 16 - Prob. 4PCh. 16 - When a particular wire is vibrating with a...Ch. 16 - Prob. 6PCh. 16 - Prob. 7PCh. 16 - A sinusoidal wave traveling in the negative x...Ch. 16 - Prob. 9PCh. 16 - Prob. 10PCh. 16 - Prob. 11PCh. 16 - Prob. 12PCh. 16 - Tension is maintained in a string as in Figure...Ch. 16 - Prob. 14PCh. 16 - Transverse waves are being generated on a rope...Ch. 16 - Prob. 16PCh. 16 - Prob. 17PCh. 16 - A two-dimensional water wave spreads in circular...Ch. 16 - A horizontal string can transmit a maximum power...Ch. 16 - Prob. 20PCh. 16 - Show that the wave function y = eb(x vt) is a...Ch. 16 - Prob. 22PCh. 16 - Prob. 23PCh. 16 - Prob. 24PCh. 16 - Prob. 25PCh. 16 - Prob. 26PCh. 16 - Prob. 27PCh. 16 - Prob. 28PCh. 16 - Prob. 29PCh. 16 - Prob. 30PCh. 16 - The intensity of a sound wave at a fixed distance...Ch. 16 - Prob. 32PCh. 16 - The power output of a certain public-address...Ch. 16 - A fireworks rocket explodes at a height of 100 m...Ch. 16 - You are working at an open-air amphitheater, where...Ch. 16 - Prob. 36PCh. 16 - Prob. 37PCh. 16 - Submarine A travels horizontally at 11.0 m/s...Ch. 16 - Prob. 39PCh. 16 - Prob. 40PCh. 16 - Review. A block with a speaker bolted to it is...Ch. 16 - Prob. 42PCh. 16 - Prob. 43APCh. 16 - Prob. 44APCh. 16 - Prob. 45APCh. 16 - Prob. 46APCh. 16 - A sinusoidal wave in a string is described by the...Ch. 16 - Prob. 48APCh. 16 - A wire of density is tapered so that its...Ch. 16 - Prob. 50APCh. 16 - Prob. 51APCh. 16 - A train whistle (f = 400 Hz) sounds higher or...Ch. 16 - Review. A 150-g glider moves at v1 = 2.30 m/s on...Ch. 16 - Prob. 54APCh. 16 - Prob. 55APCh. 16 - Prob. 56APCh. 16 - Prob. 57CPCh. 16 - Assume an object of mass M is suspended from the...Ch. 16 - Prob. 59CPCh. 16 - Prob. 60CP
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- Two students hear the same sound and their eardrums receive the same power from the sound wave. The sound intensity at the eardrums of the first student is 0.93 W/m2, while at the eardrums of the second student the sound intensity is 1.16 times greater. If the diameter of the second student’s eardrum is 1.1 cm, how much acoustic power, in microwatts, is striking each of his (and the other student’s) eardrums?arrow_forwardYou work at a building site and the noise level has been measured at 95 dB. You need to wear earplugs rated to reduce the sound intensity by 32 dB. If your eardrum has a diameter of 8.4 mm, what is the power received by one eardrum after you put in an earplug.arrow_forwardA sound wave has a frequency of 632 Hz in air and a wavelength of 0.51 m. What is the temperature of the air? Assume the velocity of sound at 0°C is 331 m/s. Answer in units of °C.arrow_forward
- Sound is detected when a sound wave causes the eardrum to vibrate. Typically, the diameter of a human eardrum is around 8.4 mm. How much energy is delivered to your eardrum when someone whispers (20 dB) right next to your ear for 3.5 s?arrow_forwardThe ear canal is an open-closed tube for sound waves. A person has ear canal 3 cm long. Sound speed in the ear is 350 m/s. The lowest resonance frequency in the ear canal is Hz.arrow_forwardThe 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?arrow_forward
- At a rock concert, the sound intensity 1.0 m in front of the bank of loudspeakers is 0.10 W/m2. A fan is 30 m from the loudspeakers. Her eardrums have a diameter of 8.4 mm. How much sound energy is transferred to each eardrum in 1.0 second?arrow_forwarda noise level meter reads the sound level in a room to be 85 dB. What is the intensity of sound in W/m^2?arrow_forwardSound is detected when a sound wave causes the tympanic membrane (the ear drum) to vibrate. Typically, the diameter of this membrane is about 8.4 mm in humans. A) how much energy is delivered to the eardrum each second when someone whispers (20 dB) into your ear? B) to comprehend how sensitive the ear is to very small amounts of energy, calculate how fast a typical 2.0 mg mosquito would have to fly (in mm/s) to have this amount of kinetic energy.arrow_forward
- The loudness of sound can be measured on a decibel scale. The sound level L (in decibels) of a sound is given by 0-12 W/m². The L=10 log where I is the intensity of the sound (in watts per square meter, W/m²) and I = 10 1 intensity, I, of a whisper is 10-10 W/m². Find the decibel value of this sound. The decibel value of this sound is. (Simplify your answer. Type an integer or a fraction.) GEREIDarrow_forwardFor Exercise, the formula L = 10 log (£) gives the loudness of sound L (in dB) based on the intensity of sound I (in W/m2). The value 10 = 10-12 W/m2 is the minimal threshold for hearing for midfrequency sounds. Hearing impairment is often measured according to the minimal sound level (in dB) detected by an individual for sounds at various frequencies. For one frequency, the table depicts the level of hearing impairment. |Category Loudness (dB) Mild 26 sL 90 Determine the range that represents the intensity of sound that can be heard by an individual with severe hearing impairment.arrow_forwardFor Exercise, the formula L = 10 log (£) gives the loudness of sound L (in dB) based on the intensity of sound I (in W/m2). The value 10 = 10-12 W/m2 is the minimal threshold for hearing for midfrequency sounds. Hearing impairment is often measured according to the minimal sound level (in dB) detected by an individual for sounds at various frequencies. For one frequency, the table depicts the level of hearing impairment. Category Loudness (dB) Mild 26 sLs 40 Moderate 41 90 a. If the minimum intensity heard by an individual is 3.4 x 10-8 W/m2, determine if the individual has a hearing impairment. b. If the minimum loudness of sound detected by an individual is 30 dB, determine the corresponding intensity of sound.arrow_forward
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