Two speakers, A and B, are in phase and 2 meters apart on the x-axis. They are both emitting a pure tone with a wavelength of 2 meters. How far directly in front of speaker B (walking in the y-direction) must you go until the first time you experience total destructive interference?

Two speakers, A and B, are in phase and 2 meters apart on the x-axis. They are both emitting a pure tone with a wavelength of 2 meters. How far directly in front of speaker B (walking in the y-direction) must you go until the first time you experience total destructive interference?

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 56AP: Two sources as in phase and emit waves with =0.42 m. Determine whether constructive or destructive...

See similar textbooks

Related questions

Q: The two monochromatic waves initially in phase are shifted by the distance shown in the figure…

A: Wavelength is the distance over which the wave repeats its shape. It is measured as the distance…

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

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: Two speakers driven by the same amplifier are sitting 3.33 m apart and emit sinusoidal sound waves…

A: The closest distance of approach for destructive interference from the middle of the distance…

Q: Two loudspeakers placed 6 m apart are driven in phase by an audio oscillator whose frequency range…

A: Write the expression for the path difference of the constructive waves, and solve for the frequency…

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: 7. A dB meter registers 129 dB when placed 1.50 m in front of a loudspeaker. Assuming uniform…

A: Given value--- sound intensity level 1 = 129 dB. r1 = 1.5 . sound intensity level 2 = 76 dB. r2 = ?

Q: Two loudspeakers are 1.70 mm apart. A person stands 3.00 mm from one speaker and 3.70 mm from the…

Q: A speaker has a diameter of 0.35 m. (a) Assuming that the speed of sound is 343 m/s, find the…

A: Given A speaker has, Diameter, D=0.35 m Speed of sound, v= 343 m/s Frequency, f= 2000 Hz

Q: A pebble is dropped in a lake; and it produces ripples with a frequency of 0.50 Hz. When should a…

A: Given Frequency f=0.5 Hz

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: Fully destructive interference between two sinusoidal waves of the same frequency and amplitude…

Q: A node is a point located along the medium where there is always ______. a. a double crest b.…

A: Given: nodes

Q: Two waves having amplitudes of 5 and 8 units and equal frequencies come together at a point in…

A: Given:- Two waves having amplitudes of 5 and 8 units and equal frequencies come together at a point…

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: A 3,440-Hz pure tone is played on a stereo in an open field. A person stands at a point that is 5 m…

A: Given, A 3,440-Hz pure tone is played on a stereo in an open field person stands at a point that is…

Q: In the figure, two speakers separated by distance di - 2.00 m are in phase. You are standing 4.60 m…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Two waves y1 and y2 each of frequency f=5 Hz, wavelength X=2 m, amplitude A=0.4 m travel in the…

Q: When two waves with equal intensities are in phase, the wave disturbance is doubled. O a. False O b.…

A: Option b. True is correct

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: The regions of Longitudinal waves, where the particles are closer are called ______________________.…

Q: ure, two speakers separated by distance d1 = 2.30 m are in phase. You are standing 3.30 m directly…

A: Givend1=2.3 md2=3.3 mP=1.10 W

Q: Two loudspeakers placed 6.0 m apart are driven in phase by an audio oscillator whose frequency…

Q: Two waves travelling in the same direction are given by: y1 = 0.2 sin(3Ttx-20t+p) and y2 = 0.2…

A: Given equation is y1=0.2 sin (3πx-20t+φ_)y2=0.2 sin(3πx-20t)

Q: Two identical speakers are 3.50 m and 5.20 m from a listener. What is the lowest frequency (n = 1)…

A: Two identical speakers placed at a distance d1…

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: A stereo speaker is placed between two observers who are 36 m apart, along the line connecting them.…

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

A: Given: Two waves are y1=4 sin2πt-πx, y2=4 sin2πt-πx+π/2. Required: Resultant amplitude of the two…

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

Q: Which of the following conditions guarantees that two overlapping waves will exhibit the property of…

A: Write the properties of of interference when two waves are overlapped. These are given as under,

Q: I need help on the last two parts. Thank you!

Q: 1. Two tuning forks are sounded simultaneously, and you can hear a tone that rises and falls in…

A: Note: As per guidelines, we can only answer a single question. Sorry for the inconvenience. For…

Q: Two waves travelling in the same direction are given by: y1 = 0.2 sin(2rx-20t+p) and y2 0.2…

A: The interference of two waves occurs when they pass through each other. It is of two types -…

Q: Two identical sinusoidal waves with wavelengths of 2 m travel in the same direction at a speed of…

Q: Two waves travelling in the same direction are given by: y1 = 0.2 sin(2mx-20t+p) and y2 = 0.2…

A: Standing waves are formed by the superposition of two travelling waves of the same frequency (with…

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

Two speakers, A and B, are in phase and 2 meters apart on the x-axis. They
are both emitting a pure tone with a wavelength of 2 meters. How far
directly in front of speaker B (walking in the y-direction) must you go until
the first time you experience total destructive interference?

Expert Solution

Step 1

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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 sources as in phase and emit waves with =0.42 m. Determine whether constructive or destructive interference occurs at points whose distances from the two sources are (a) 0.84 and 0.42 m, (b) 0.21 and 0.42 m, (c) 1.26 and 0.42 m, (d) 1.87 and 1.45 m, (e) 0.63 and 0.84 m and (f) 1.47 and 1.26 m.
You sit in the center of a room that includes an amazing surround-sound system, consistingof 10 speakers (all of which are equidistant from your ears). You play a tone from all 10 speakersat once, but they have randomly-distributed relative phases, so you hear the same volume as ifyou turned up the power coming through a single speaker by a factor of 10. From this arrangementyou hear the tone at an intensity level of 35 dB. Next you reconfigure the speakers so that theyplay the tones in phase. If the volume of each speaker is the same as before, what is the decibellevel of this new sound?
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?
Two loudspeakers, A and B (Fig. ), are driven by thesame amplifier and emit sinusoidal waves in phase. Speaker B is 2.00 mto the right of speaker A. Consider point Q along the extension ofthe line connecting the speakers, 1.00 m to the right of speaker B.Both speakers emit sound waves that travel directly from the speaker topoint Q. What is the lowest frequency for which (a) constructive interferenceoccurs at point Q; (b) destructive interference occurs at point Q?
Two loudspeakers are 1.70 mm apart. A person stands 3.00 mm from one speaker and 3.70 mm from the other. What is the lowest frequency at which destructive interference will occur at this point if the speakers are in phase? Calculate two other frequencies that also result in destructive interference at this point (give the next two highest). Let T= 20 ∘C
Two loudspeakers in a 20°C room emit 686 Hz sound waves along the x-axis. What is the smallest distance between the speakers for which the interference of the sound waves for a point on the axis is destructive?
Two speakers connected to the same frequency generator emit a sound with afrequency of 500 Hz. As a person walks around in the room, he finds areas wherethe sound becomes loud and clear and areas where it is more muffled. At one spotwhere the sound is a maximum, the student is 3.2 m from one speaker. What isthe closest possible distance he could be to the other speaker?
1Two sources are in phase with one another and emit waves with a wavelength of 0.42 meters. Find outwhether the interference is constructive or destructive at sites with the following distances betweenthe two sources: (a) 0.84 and 0.42 m [2]; (b) 0.21 and 0.42 m[2]; (c) 1.26 and 0.42 m[2]; (d) 1.87 and1.45 m [2]; (e) 0.63 and 0.84 m [2]; and (f) 1.47 and 1.26 m [2]
Public television station KQEDin San Francisco broadcasts a sinusoidal radio signal at a power of777 kW. Assume that the wave spreads out uniformly into a hemisphereabove the ground. At a home 5.00 km away from the antenna, what is the average density of the energy this wave carries?
Two loudspeakers are placed in line with each other in a 20°C room. Both speakers emit soundwaves of 857.5 Hz. What is the smallest distance between the speakers for which the sound waves will have destructive interference? What is the smallest distance for which they can have constructive interference?
Two speakers are against a wall emitting a sound at 767 Hz, 14 m apart, and facing each other. You are standing against the wall in between the speakers. Use 344ms for the speed of sound in air. A) What is the closest distance that you can be from the speaker on the left at which you exprerience total destructive interference, and the sound from the speakers cancel out? B) What is the closest distance that you can be from the speaker on the left at which you experrience total constructive interference, and the sound intensity is doubled?
A person stands 6.00 m from a speaker, and 8.00 m from an identical speaker. What is the frequency of the second (n = 2) interference minimum (destructive)? (Hint: v = \f = 343 m/s) (Unit = Hz)