COLLEGE PHYSICS
2nd Edition
ISBN: 9781711470832
Author: OpenStax
Publisher: XANEDU
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Chapter 17, Problem 50PE
To determine
The range of the fundamental resonant frequencies and to check the correlation with the intensity versus frequency graph of the human ear.
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The ear canal resonates like a tube closed at one end. (17.39.) If ear canals range in length from 1.80 to 2.60 cm in an average population, what is the range of fundamental resonant frequencies? Take air temperature to be 37.0ºC , which is the same as body temperature. How does this result correlate with the intensity versus frequency graph (17.37) of the human ear?
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?
1. Some of the sound waves that emanate from students and bombard the auditory senses of their teachers
have a frequency of 250 hertz and a wavelength of 1.3 meters. What is the speed of sound?
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Chapter 17 Solutions
COLLEGE PHYSICS
Ch. 17 - How do sound vibrations of atoms differ from...Ch. 17 - When sound passes from one medium to another where...Ch. 17 - Six members at a synchronized swim team weal...Ch. 17 - A community is concerned about a plan to bring...Ch. 17 - Is the Doppler shift real or just a sensory...Ch. 17 - Due to eficiency considerations related to its bow...Ch. 17 - When you hear a sonic boom, you often cannot see...Ch. 17 - How does an unamplified guitar produce sounds so...Ch. 17 - You are given two wind instruments of identical...Ch. 17 - What is the difference between an overtone and a...
Ch. 17 - Why can a hearing test show that your threshold of...Ch. 17 - If audible sound follows a rule of thumb similar...Ch. 17 - Elephants and whales are known to use infrasound...Ch. 17 - It is more difficult to obtain a high—resolution...Ch. 17 - Suppose you read mat 210dB ultrasound is being...Ch. 17 - When poked by a spear, an operatic soprano lets...Ch. 17 - What frequency sound has a 0.10m wavelength when...Ch. 17 - Calculate the speed of sound on a day when a 1500...Ch. 17 - Prob. 4PECh. 17 - Show mat 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 - A physicist a1 a fireworks display times the lag...Ch. 17 - Prob. 11PECh. 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 20°C 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 - Show that an intensity of 1012 W/m2 is the same as...Ch. 17 - (a) What is the decibel level of a sound that is...Ch. 17 - (a) What is the intensity of a sound that has a...Ch. 17 - (a) How much more intense is a sound that has a...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 8hour exposure to a sound intensity level of...Ch. 17 - (a) Ear trumpets were never very common, but they...Ch. 17 - Sound is more effectively transmitted into a...Ch. 17 - Loudspeakers can produce intense sounds with...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 200Hz 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 - What is the minimum speed at which a source must...Ch. 17 - A “showy" custom—built car has two brass horns...Ch. 17 - What beat frequencies will be present: (a) If the...Ch. 17 - What beat frequencies result if a piano hammer...Ch. 17 - A piano tuner hears a heat every 2.00 s when...Ch. 17 - (a) What is the fundamental frequency of a...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 fiute be in order to have a...Ch. 17 - What length should an oboe have to produce a...Ch. 17 - What is the length of a tube that has a...Ch. 17 - (a) Find the length of an organ pipe closed at one...Ch. 17 - By what fraction will the frequencies produced by...Ch. 17 - Prob. 50PECh. 17 - Calculate the first overtone in an ear canal,...Ch. 17 - Prob. 52PECh. 17 - (a) Students in a physics lab are asked to find...Ch. 17 - What frequencies will a 1.80-m—long tube produce...Ch. 17 - The factor of 1012 in the range of intensities to...Ch. 17 - The frequencies to which the ear responds vary by...Ch. 17 - What are the closest frequencies to 500 Hz that an...Ch. 17 - Can the average person tell that a 2002-Hz sound...Ch. 17 - If your radio is producing an average sound...Ch. 17 - Can you tell that your roommate turned up the...Ch. 17 - Prob. 61PECh. 17 - What sound intensity levels must sounds of...Ch. 17 - What is me approximate sound intensity level in...Ch. 17 - (a) What are the loudnesses in phons of sounds...Ch. 17 - Suppose a person has a 50—UB hearing loss at all...Ch. 17 - If a woman needs an amplification of 5.01012 times...Ch. 17 - (a) What is the intensity in watts per meter...Ch. 17 - (a) Find the intensity in watts per meter squared...Ch. 17 - A person has a hearing threshold 10 dB above...Ch. 17 - A child has a hearing loss of 60 dB near 5000 Hz,...Ch. 17 - What is the ratio of intensi?es of two sounds of...Ch. 17 - What is the sound intensity level in decibels of...Ch. 17 - Is 155—dB ultrasound in the range at intensities...Ch. 17 - Find the sound intensity level in decibels of...Ch. 17 - The time delay between transmission and the...Ch. 17 - Prob. 76PECh. 17 - (a) Calculate the minimum frequency of ultrasound...Ch. 17 - (a) Find the size of the smallest detail...Ch. 17 - (a) Echo times are measured by diagnostic...Ch. 17 - (a) How far apart are two layers of tissue that...Ch. 17 - (a) A bat uses ultrasound to find its way among...Ch. 17 - A dolphin is able to tell in the dark that the...Ch. 17 - A diagnostic ultrasound echo is re?ected from...Ch. 17 - Ultrasound reflected from an oncoming bloodstream...Ch. 17 - Prob. 1TPCh. 17 - Prob. 3TPCh. 17 - Prob. 4TPCh. 17 - Prob. 5TPCh. 17 - Prob. 6TPCh. 17 - Prob. 7TPCh. 17 - Prob. 8TPCh. 17 - Prob. 9TPCh. 17 - Prob. 10TPCh. 17 - Prob. 11TPCh. 17 - Prob. 12TPCh. 17 - Prob. 13TPCh. 17 - Prob. 15TPCh. 17 - Prob. 16TPCh. 17 - Prob. 17TPCh. 17 - Prob. 18TPCh. 17 - Prob. 19TPCh. 17 - Prob. 20TPCh. 17 - Prob. 21TPCh. 17 - Prob. 22TP
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- The class I'm taking is physics of music and sound! I am completely stuck. Need help. I have attached the problem. Please view attachment before answering. Please write step-by-step explanation so I can fully understand. Thanks!arrow_forwardThe area of a typical eardrum is approximately 5.0 x 10°m². Calculate the sound power on the eardrum at: (Intensity = Power/Area) a. The threshold of hearing. b. The threshold of pain.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
- Based 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_forwardWhy 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_forwardSome 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 20 000 Hz? (Assume a body temperature of 37.0C.)arrow_forward
- I bought a mic that claims to pick up sound intensity of 4.3x10-11 W/m². Wha is the corresponding sound intensity level? (pay attention to the difference between the physical quantities: Intensity, and Intensity level.) 18.06arrow_forwardUltrasound with a frequency of 5012395 Hz can be used to produce images of the human body. If the speed of sound in the body is the same as in saltwater, 1910 m/s, what is the length of a 5012395-Hz pressure wave in the body? No need to include the unit. Write your answer in scientific notation. (1.11e+1) Round your answer to 2 decimal places. Add your answerarrow_forwardYou hear a sound of (4.8x10^1) decibels. What is the intensity? Give your answer in microwatts/m2 to 2 sf. Assume the threshold of human hearing is 1.0×10-12 W/m2. Use two significant figures for your answer. Note: 1 μW = 1×10-6 Warrow_forward
- Activity Proper: Activity No. 1 – Sound: Problem Solving Sound. Answer the following problem involving intensity of sound. Examples with solution: a. A 1.0 W point source emits sound waves isotropically. Assuming that the energy of the waves is conserved, find the intensity, 1.0 m from the source: Solution and Answer: Ps 4ar² 1 W W = 8 x 10-2 m2 4п(1 m)2 b. A point source emits sound waves isotropically. The intensity of the waves 2.50 m from the source is 1.91 x 10-4. Assuming that the energy of the waves is conserved, find the power of the source. Solution and Answer: m² P = (4ar²)(1) P = (4m(2.5 m)²)(1.91 × 10-4 From / = m2 P = 1.5 x 10-2 w Page 2 of 4 1. A 1.0 W point source emits sound waves isotropically. Assuming that the energy of the waves is conserved, find the intensity, 2.5 m from the source. Show your solution and answer for the intensity 2.5 m from the source.arrow_forwardAn ultrasound pulse of frequency 20 MHz is transmitted through 6 cm of muscle. The wavelength of the ultrasound in muscle is 0, 77 * 10-4 m. Calculate the speed of sound in muscle. Calculate the time taken for the ultrasound to pass through the muscle.arrow_forwardA threshold of hearing has an intensity of 10- 12 W/m^2 (a sound level of 0Db). how much more intense than the threshold of hearing is a sound of 10 DB? The threshold of hearing has an intensity of 10^-12 w/m^2 how much more intense than the threshold of hearing is a sound of 40db?arrow_forward
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What Are Sound Wave Properties? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=GW6_U553sK8;License: Standard YouTube License, CC-BY