Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 23, Problem 42SP
The threshold of human hearing is an intensity of about 10–12 W/m2. Determine the corresponding intensity level using your calculator. Make sure to distinguish between the keys for ln and log even though it doesn’t matter in this special case. Do the calculation again, this time with the intensity at the threshold of pain where I0 = 1 W/m2.
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Sound is detected when a sound wave causes the eardrum to vibrate.
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.
What is the power delivered to your eardrum?
Express your answer in watts.
P =
17 ΑΣΦ
?
W
You hear a sound of (5.6x10^1) decibels. What is the intensity? Give your answer in
microwatts/m2 to 2 sf. Assume the threshold of human hearing is 1.0x10-12 W/m².
Use two significant figures for your answer. Note: 1 µW = 1×106 W
Note: Your answer is assumed to be reduced to the highest power possible.
Your Answer:
х10
Answer
Chapter 23 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 23 - 22. Three seconds after a gun is fired, the person...Ch. 23 - 23. What is the speed of sound in air when the air...Ch. 23 - 24. A longitudinal wave with a frequency of 100 Hz...Ch. 23 - 25. If the speed of sound in air is found to be...Ch. 23 - 26. An autofocusing camera sends out a pulse of...Ch. 23 - 27. It’s often claimed that for every second of...Ch. 23 - 28. A shell fired at a target 800 m away was heard...Ch. 23 - 29. In an experiment to determine the speed of...Ch. 23 - 23.30 [II] A disk has 40 holes around its...Ch. 23 - 23.31 [I] The bulk modulus of seawater is 2.1 GPa....
Ch. 23 - 32. Use Eq. (23.2) to determine the approximate...Ch. 23 - 33. Compute the speed of sound in helium gas at...Ch. 23 - 23.34 [II] Determine the speed of sound in carbon...Ch. 23 - 23.35 [II] Compute the molecular mass M of a gas...Ch. 23 - 23.36 [II] At S.T.P., the speed of sound in air is...Ch. 23 - Prob. 37SPCh. 23 - 23.38 [II] A bar of dimensions and mass 2.00 kg...Ch. 23 - 39. Find the speed of compression waves in a metal...Ch. 23 - Prob. 40SPCh. 23 - 23.41 [I] The level of normal speech exchanged...Ch. 23 - 42. The threshold of human hearing is an intensity...Ch. 23 - 23.43 [II] A machine produces a sound level of 80...Ch. 23 - 44. Suppose the intensity of sound increases by a...Ch. 23 - 45. If the intensity level of sound is to be...Ch. 23 - 46. Suppose we add ±3.0 dB to the intensity level...Ch. 23 - 23.47 [I] If the intensity of sound changes, the...Ch. 23 - 23.48 [I] Redo Problem 23.45 using Eq. (23.9).
Ch. 23 - 49. A sound has an intensity of 5.0 × 10−7 W/m2....Ch. 23 - 50. A person riding a power mower may be subjected...Ch. 23 - 23.51 [II] A rock band might easily produce a...Ch. 23 - 23.52 [II] A whisper has an intensity level of...Ch. 23 - 23.53 [II] What sound intensity is 3.0 dB louder...Ch. 23 - 23.54 [II] Calculate the intensity of a sound wave...Ch. 23 - 23.55 [II] What is the amplitude of vibration in a...Ch. 23 - 23.56 [II] One sound has an intensity level of...Ch. 23 - 23.57 [II] An organ pipe is tuned to emit a...Ch. 23 - 23.58 [I] A locomotive moving at 30.0 m/s...Ch. 23 - 23.59 [II] Two cars are heading straight at each...Ch. 23 - 23.60 [II] To determine the speed of a harmonic...Ch. 23 - 23.62 [II] The two sources shown in Fig. 23-4 emit...
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- Sound 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_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 2.00 x 104 Hz? (Assume a body temperature of 37.0°C.)arrow_forwardA 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?arrow_forward
- You 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 registers (2.40x10^1) decibels on a detector. What is the intensity in W/m2? Assume the threshold of human hearing is 1.0×10-12 W/m2. Use three significant figures for your answer.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
- For 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_forwardA particular person's eardrum is circular, with a diameter of 9.00 mm. (a)How much sound energy (in J) is delivered to an eardrum in one second, at the threshold of human hearing? (The threshold of human hearing is taken to be 1.00 ✕ 10−12 W/m2.) J (b)How much sound energy (in J) is delivered to an eardrum in one second, at the pain threshold for human hearing? (The pain threshold occurs at 1.00 W/m2, one trillion times as intense as the lowest audible level.) J (c)Assume that musicians onstage are exposed to sound that is 10 decibels below the human pain threshold. Over the course of a two-hour concert, how much sound energy (in J) does each ear absorb onstage? Jarrow_forwardProblem 5: The softest sound a human ear can hear is at 0 dB (Io = 10-12 W/m2). Sounds above 130 dB cause pain. A particular student's eardrum has an area of A = 56 mm2.Randomized Variables A = 56 mm2 Part (a) What is the most power, in watts, the ear can receive before the listener feels pain?Numeric : A numeric value is expected and not an expression.Pmax = __________________________________________Part (b) What is the smallest power, in watts, the ear can detect?Numeric : A numeric value is expected and not an expression.Pmin = __________________________________________arrow_forward
- 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?arrow_forwardThe textbook gives an estimate for the sound intensity of a whisper at 1.0 mm. What is the sound intensity of a whisper at a distance of 2.0 mm , in W/m^2? What is the corresponding sound intensity level in dB?arrow_forward12 gives the loudness of sound L (in dB) based on the intensity of sound I (in W/m²). The value I = 10 The formula L=10 log 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 Mild Moderate Moderately severe Severe Profound Loudness (dB) 26≤L≤40 41≤L≤55 56≤L≤70 71 ≤L≤90 L>90 W/m is the minimal (a) If the minimum intensity heard by an individual is 9421.4 x 108 W/m², determine if the individual has a hearing impairment. Round to the nearest tenth. (b) If the minimum loudness of sound detected by an individual is 40 dB, determine the corresponding intensity of sound.arrow_forward
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