The two speakers of a boom box are 40 cm apart. A single oscillator makes the speakers vibrate in phase at the same frequency 2 kHz. At what angles, measured from the perpendicular bisector of the line joining the speakers, would a distant observer hear maximum sound intensity?

The two speakers of a boom box are 40 cm apart. A single oscillator makes the speakers vibrate in phase at the same frequency 2 kHz. At what angles, measured from the perpendicular bisector of the line joining the speakers, would a distant observer hear maximum sound intensity?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Wave Optics

Section: Chapter Questions

Problem 19P

See similar textbooks

Related questions

Q: Two identical loudspeakers are driven in phase by a common oscillator at 800 Hz and face each other…

A: Answer Two identical waves moving in opposite direction constitutes a standing wave The wavelength…

Q: Two loudspeakers in a 40 C room emit 650 Hz sound waves along the x-axis. If the speakers are in…

A: Given,

Q: Speaker 1 is at x = 0 and speaker 2 is to the right and facing it at x = 5 m. The speakers are…

Q: Two transverse waves y1 = 2 sin(2Tt - TIX) and y2 = 2 sin(2Tt - TTX + Tt/3) are moving in the same…

Q: Microwaves of wavelength 5.50 cm enter a long, narrow window in a building that is otherwise…

A: Given: Wavelength of microwave (λ) = 5.0 cm = 5×10-2 m. Width of window = width of slit = (d) = 38.0…

Q: Two out of phase loudspeakers are some distance apart. A person stands 5.40 m from one speaker and…

Q: o loudspeakers, placed on opposite walls of a 10m long room, emit pure sine waves with f = 170 Hz…

A: Given:- Two loudspeakers, placed on opposite walls of a 10m long room, emit pure sine waves with f…

Q: f a large housefly 2.0m away from you makes a noise of 48 dB, what is the noise level ( in dB) of…

Q: Two waves y1 and y2 of frequency f=10 Hz and speed v=20 m/s arrive to point M with a path difference…

Q: Suppose that the separation between two speakers A and B is 4.60 m and the speakers are vibrating…

Q: Two transverse waves y1 = 4 sin(2tt - Ttx) and y2 = 4 sin(2rtt - TTX + Tt/2) are moving in the same…

A: Given Two transverse waves are given as, y1=4sin2πt-πx..................(1) y2=4sin2πt-πx+π2 We…

Q: The two speakers are placed 35.0 cm apart. A single oscillator makes the speakers vibrate in phase…

A: Formula to calculate the angle associated with the maxima is,

Q: A sound wave with a frequency of 15.1 kHz emerges through a circular opening that has a diameter of…

Q: The two speakers are placed 40.0 cm apart. A single oscillator makes the speakers vibrate in phase…

A: SOlution: Given that d = 40 cm f = 1.98 kHz

Q: A pulse is traveling towards the boundary, from a more dense medium to a less dense medium. Mati1…

A: Propagation of waves from one medium into other:

Q: Constructive interference only occurs for a thin film with an even number of phase changes. True…

A: Constructive interference only occurs for a thin film with an even number of phase changes.

Q: Destructive interference occurs if the phase difference between the waves is: a. 1.5 x 3.14 radian…

A: In destructive interference positive amplitude of one wave is cancelled exactly by a negative…

Q: Diffraction around corners is greater when the ………. is larger. Two point on a wave that are at…

A: Hello. Since your question has multiple fill in the blanks, we will solve the first three for you.…

Q: Two speakers are separated by 3 meters. You're sitting at a 35 degree angle from the center line of…

Q: Suppose that the separation between two speakers A and B is 6.90 m and the speakers are vibrating…

A: Scenario - An observer is sitting directly in line of speaker B while another speaker, Speaker A is…

Q: The figure shows a loudspeaker A and point C, where a listener is positioned. [AC| = 4.50 m and the…

A: the fourth closest to speaker A that speaker B can be located, so that the listener hears maximum…

Q: If the sound wave hits the cold air interface at an angle of 35°, what is the angle of refraction?…

Q: The reason you can hear around Marge's hairdo is: O The wavelength of sound is much longer than the…

A: Given in question - "You can hear around Marge's hairdo" To find - Which of the following is the…

Q: Water waves with an amplitude of 0.80cm and a wavelength of 2.5cm go through two openings in a…

A: Given, A = 0.80cm λ = 2.5 cm a = 1.2 cm d = 12.0 cm The expression for the constructive interference…

Q: At a location that is 3.00 m from wave source A and 4.20 m from wave source B, constructive…

Q: The two speakers are placed 39.0 cm apart. A single oscillator makes the speakers vibrate in phase…

A: Given: The two speakers are placed 39.0 cm apart. A single oscillator makes the speakers vibrate in…

Q: Suppose the intensity over the surface of a hemisphere is (10 watt/ cm?). The area of the surface is…

Q: Two coherent waves, coming from sources at different loca- tions, move along the x axis. Their wave…

A: It is given that,

Q: Two speakers vibrate in phase with each other at 523 Hz. At certain points in the room, the sound…

A: Two speakers vibrate in phase with each other at 523 Hz. At certain points in the room, the sound…

Q: A 3.04-kHz tone is being produced by a speaker with a diameter of 0.212 m. The air temperature…

Q: A pulse is traveling towards the boundary, from a less dense medium to a more dense medium. Medium1…

A: When a pulse travels from a less denser medium to more dense medium, then on reaching the boundary,…

Q: Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and…

A: Given Yres(x,t) = 8 cm sin(4πx-60πt+π/3)

Q: A row of seats is parallel to a stage at a distance of 8.4 m from it. At the center and front of the…

Q: Microwaves of wavelength 5.05 cm enter a long, narrow window in a building that is otherwise…

A: Distance of wall from window (D)= 6.4 m Width of window (d) = 37 cm = 0.37 m wavelength (λ) = 5.05…

Q: x and y are in meters andt is in seconds. The resultant interference wave function is expressed as:…

A: When two waves are superimposed with each other the resultant wave is given by y…

Q: Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and…

A: The two sinusoidal waves are travelling with same wavelength, speed and amplitude The displacement…

Q: Two point sources are 9. 00 cm apart and operating in phase with a common frequency of 9. 50 Hz. The…

Q: Two transverse waves y1 = 4 sin(2tt - TTX) and y2 = 4 sin(2t - TtX + Tt/2) are moving in the same…

Q: Two small slits are in a thick wall, 27.5 cm apart. A sound source from the behind the wall emits a…

A: Given : Distance between the slits, d = 27.5 cm = 27.5×10-2 m Speed of sound, v = 342 m/s…

Q: Two speakers placed 0.99 m apart produce pure tones in sync with each other at a frequency of 1425…

Q: Imagine you are in an open field where two loudspeakers are set up and connected to the same…

Q: A pulse in a more dense medium is traveling towards the boundary of a less dense medium. Medium 1…

A: In this case, the incident pulse travelling in the denser medium towards the boundary of a less…

Q: Two small speakers are driven by a common oscillator at 7.40 × 102 Hz. The speakers face each other…

A: The spacing between the two nodes of the stationary wave is given by,

Concept explainers

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Step 9

Step by step

Solved in 9 steps with 8 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Two loudspeakers in a 40 C room emit 650 Hz sound waves along the x-axis. If the speakers are in phase, what is the smallest distance between the speakers for which the interference of the sound waves is destructive?
Two identical loudspeakers 2.0 m apart are emitting 1800 Hz sound waves into a room where the speed of sound is 340 m/s. Is the point 4.0 m directlyin front of one of the speakers, perpendicular to the line joining the speakers, a point of maximum constructive interference, perfect destructive interference, or something in between?
The two speakers are placed 40.0 cm apart. A single oscillator makes the speakers vibrate in phase at a frequency of 1.98 kHz. At what angles, measured from the perpendicular bisector of the line joining the speakers, would a distant observer hear maximum sound intensity? Minimum sound intensity? (Take the speed of sound to be 340 m/s. Enter the magnitude of the angle only.)maximum intensities: (List smallest magnitude angle first.)?1max = ?2max = ?3max = minimum intensities: (List smallest magnitude angle first.)?1min = ?2min =
Two loudspeakers, placed on opposite walls of a 10m long room, emit pure sine waves at f= 170 Hz coherently. If we were exactly in the middle of the room, where the interference of waves is constructive, what is the shortest distance we should travel towards one of the speakers so that the waves cancel out completely?" Assume that the speed of sound at air is 340 m/s.
Two loudspeakers placed 6 m apart are driven in phase by an audio oscillator whose frequency range is 950 Hz to 1350 Hz. A point P is located 5 m from one loudspeaker and 3.5 m from the other. The speed of sound is 350 m/s. The frequency produced by the oscillator, for which constructive interference of sound occurs at point P, is closest to what?
Two loudspeakers, placed on opposite walls of a 10m long room, emit pure sine waves with f = 170 Hz coherently. If we were exactly in the middle of the room, where the waves are interfering constructively, what is the shortest distance we should travel towards one of the speakers so that the waves cancel out completely? Assume the speed of sound in air is 340 m/s.
The two speakers are placed 39.0 cm apart. A single oscillator makes the speakers vibrate in phase at a frequency of 2.01 kHz. At what angles, measured from the perpendicular bisector of the line joining the speakers, would a distant observer hear maximum sound intensity? Minimum sound intensity? (Take the speed of sound to be 340 m/s. Enter the magnitude of the angle only.) maximum intensities: (List smallest magnitude angle first.) ?1max = ?2max = ?3max = minimum intensities: (List smallest magnitude angle first.) minimum intensities: (List smallest magnitude angle first.) ?1min = ?2min =
Suppose that the separation between two speakers A and B is 6.90 m and the speakers are vibrating in-phase. They are playing identical 135-Hz tones and the speed of sound is 343 m/s. An observer is seated at a position directly facing speaker B in such a way that his line of sight extending to B is perpendicular to the imaginary line between A and B. What is the largest possible distance between speaker B and the observer, such that he observes destructive interference?
Two loudspeakers are placed above and below each other, as in Figure P14.40 and driven by the same source at a frequency of 4.50 x 102 Hz. An observer is in front of the speakers (to the right) at point O, at the same distance from each speaker. What minimum vertical distance upward should the top speaker be moved to create destructive interference at point O?
Two identical loudspeakers are driven in phase by a common oscillator at 800 Hz and face each other at a distance of 1.25m.Locate the points along the line joining the two speakers where relative minima of sound pressure amplitude would be expected.
The volume control on a surround sound amplifier is adjusted so the sound intensity level at the listining position increase from 22 to 66 dB. What is the raiton of the final sound intensity to the original sound intensity?
Two identical loudspeakers 2.0 m apart are emitting sound waves into a room where the speed of sound is 340 m/s. Abby is standing 5.0 m in front of one of the speakers, perpendicular to the line joining the speakers, and hears a maximum in the intensity of the sound. What is the lowest possible frequency of sound for which this is possible?