Question

Follow these steps to solve this problem: Two identical loudspeakers, speaker 1 and speaker 2, are 2.0 m apart and are emitting 1700-Hz sound waves into a room where the speed of sound is 340 m/s. Consider a point 4.0 m in front of speaker 1, which lies along a line from speaker 1, that is perpendicular to a line between the two speakers. Is this a point of maximum constructive interference, a point of perfect destructive interference, or something in between?

Compute the path-length difference Δ*r*.

What is the wavelength *λ* of the sound waves emitted by
the speakers?

Answer #1

Two identical loudspeakers 2.20 m apart are emitting sound waves
into a room where the speed of sound is 340 m/s. Abby is standing
4.00 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?

Two loudspeakers emit coherent in phase sound waves with at a
frequency of 68.8 Hz. The speed of sound is 344.0 m/s.
Point q is vertically located 2.0 m from the bottom speaker and
5.0 m from the top speaker. At point q, is there maximum
constructive interference, complete destructive interference, or
neither?? Explain your answer.

Two loudspeakers sit next to each other on a line in a 10◦C
room.They both emit a 660 Hz sound
1. If the speakers have the same phase constant, what is the
smallest distance between the speakers for which the interference
of thesound waves is perfectly constructive?
2. If the speakers have phase constant difference equal to π,
what isthe smallest distance between the speakers for which the
interference of the sound waves is perfectly constructive?
3. If the speakers...

Two loudspeakers emit 500 Hz sound waves with an amplitude of
1cm.
Speaker 2 is 1.00m behind speaker 1, and the phase difference
between the
speakers is 90 degree
. (I) What is the phase difference of the sound wave at a
point 2.00 m in front of speaker 1? (II) What is the minimum
distance
between the two speakers such that the observer at this position
hears
the minimal sound? (6 points)

Two loudspeakers are in a room where the speed of sound is 343
m/s. They emit 531 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 perfectly
destructive (in m)?

Two identical loudspeakers are some distance apart. A person
stands 4.40 m from one speaker and 3.50 m from the other. What is
the third lowest frequency at which destructive interference will
occur at this point? The speed of sound in air is 343m/s.

Two identical loudspeakers are some distance apart. A person
stands 5.70 m from one speaker and 2.80 m from the other. What is
the fourth lowest frequency at which destructive interference will
occur at this point? The speed of sound in air is 343m/s.

Two identical loudspeakers are some distance apart. A person
stands 5.70 m from one speaker and 2.80 m from the other. What is
the fourth lowest frequency at which destructive
interference will occur at this point? The speed of sound in air is
343m/s.

Two in-phase loudspeakers are 3.0 m apart. They emit sound with
a frequency of 950Hz. A microphone is placed half-way between the
speakers and then moved along the line joining the two speakers
until the first point of destructive interference is found. At what
distance from that midpoint is that first point? The speed of sound
in air is 343 m/s.
A) 0.09 m
B) 0.18 m
C) 0.24m
D) 0.36m
E) There is no point in that line where...

Two loudspeakers are 1.50 m apart. A person stands 3.00 m from
one speaker and 3.60 m from the other.
a) What is the lowest frequency at which destructive
interference will occur at this point if the speakers are in
phase?
b) Calculate two other frequencies that also result in
destructive interference at this point (give the next two highest).
Let T = 20 degrees Celsius.

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