A law of physics states that the intensity of sound is inversely proportional to the square of the distance d from the source: I = k/d2.(a) If B, is the decibel level at a distance di, use this model and the equationB = 10 log(described in this section) to find the equation for the decibel level B2 at a distance d2 relative to B, and d.B2 =(b) The intensity level at a rock concert is 125 dB at a distance 1.9 m from the speakers. Find the intensity level at a distance of 10 m. (Round your answer to the nearest whole number.)B2 =dB

Let I1 and I2 be the intensities of a sound at a distance d1 and d2 respectively. The expression for…

Answered: A law of physics states that the…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter17: Traveling Waves

Section: Chapter Questions

Problem 12PQ: The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0...

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At t = 0, a transverse pulse in a wire is described by the function y=6.00x2+3.00 where xand y are in meters. If the pulse is traveling in the positive x direction with a speed of 4.50 m/s, write the function y(x, t) that describes this pulse.
The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0 sin (1.5x 45t), where x and y are in meters and the time t is in seconds. a. In what direction is the wave propagating? be. N What are the b. amplitude, c. wavelength, d. frequency, and e. propagation speed of the wave?
A sound wave in air has a pressure amplitude equal to 4.00 103 Pa. Calculate the displacement amplitude of the wave at a frequency of 10.0 kHz.
Consider a diagnostic ultrasound of frequency 5.00 MHz that is used to examine an irregularity in soft tissue. (a) What is the wavelength in air of such a sound wave if the speed of sound is 343 m/s? (b) If the speed of sound in tissue is 1800 m/s, what is the wavelength of this wave in tissue?
On a particular day the speed of sound in air is 340 m/s. If a plane flies at a speed of 680 m/s, is its Mach number (a) 1.5, (b) 2.0, (c) 2.5, or (d) 2.7?
Two traveling sinusoidal waves are described by the wave functions y1 = 5.00 sin [(4.00x 1 200t)] y2 = 5.00 sin [(4.00x 1 200t 0.250)] where x, y1 and y2 are in meters and t is in seconds. (a) What is the amplitude of the resultant wave function y1 + y2? (b) What is the frequency of the resultant wave function?
When dealing with sound intensities and decibel levels, a convenient approximation (accurate to 2 significant figures) is: For every doubling of the intensity, the decibel level increases by 3.0. Suppose the sound level at some location is 85 dB. Find the decibel levels if the sound intensity is increased by factors of (a) 2.0, (b) 4.0, (c) 8.0, and (d) 16.
A sound wave traveling in 19 °C air has a sound intensity of 21 × 10-3 W/m2. Part (a) Assuming the density of air at this temperature is 1.19 kg/m3, what is the pressure variation of this sound wave in N/m2? ΔPΔP = N/m2 Part (b) Calculate the sound intensity level in decibels. ββ = dB
Fill in the blanks with the correct values (to two significant figures), assuming sound propagates as a spherical wave. If the intensity of a sound is I0 at a given location, and then the distance to the sound source is doubled, the intensity decreases to (a) _____ I0 and the decibel level decreases by (b) _____ dB.
MCQs Points R and S have a distance of 50 meters and 500 meters respectively from the sound source. If the R area hears a sound with an intensity of 10 ̂-3 W / m2, the ratio of the intensity level at points R and S is ? A. 7: 5 B. 8: 6 C. 9: 7 D. 10: 8
A sinusoidal sound wave moves through a medium and is described by the displacement wave function s(x, t) = 2.00 cos (15.7x - 858t)where s is in micrometers, x is in meters, and t is in seconds. Find (a) the amplitude, (b) the wavelength, and (c) the speed of this wave. (d) Determine the instantaneous displacement from equilibrium of the elements of the medium at the position x = 0.050 0 m at t = 3.00 ms. (e) Determine the maximum speed of the element’s oscillatory motion.
At a distance of 4 m from a certain sound source, the sound level intensity is 70 dB. What is the power being emitted by the sound source? (Assume I0=10−12W/m2.)

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