Question

Two loudspeakers emit identical sound waves along the x-axis. The sound at a point on the axis has maximum intensity when the speakers are 25 cm apart. The sound intensity decreases as the distance between the speakers is increased, reaching zero at a separation of 55 cm.

A) What is the wavelength of the sound? Express your answer with the appropriate units.

B) If the distance between the speakers continues to increase, at what separation will the sound intensity again be a maximum? Express your answer with the appropriate units.

Answer #1

9. Two loudspeakers emit sound waves along the x-axis. The sound
has maximum intensity when the speakers are 20 cm apart. The sound
intensity decreases as the distance between the speakers is
increased, reaching zero at a separation of 60 cm. (a) What is the
wavelength of the sound? (b) If the distance between the speakers
continues to increase, at what separation will the sound intensity
again be a maximum?

Two loudspeakers, 1.4 m apart, emit sound waves with the same
frequency along the positive x-axis. Victor, standing on
the axis to the right of the speakers, hears no sound. As the
frequency is slowly tripled, Victor hears the sound go through the
sequence loud-soft-loud-soft-loud before becoming quiet again.
What was the original sound frequency? Assume room temperature
of 20∘C.

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 stereo speakers mounted 4.52 m apart on a wall emit
identical sound waves. You are standing at the opposite wall of the
room at a point directly between the two speakers. You walk 2.11 m
parallel to the wall to a location where you first notice that the
sound intensity is much less. If the wall along which you are
walking is 13.3 m from the wall with the speakers, what is the
wavelength of the sound waves? (Answer:...

Two identical loudspeakers are situated at the same height above
a horizontal xy-plane and emit sound waves of frequency 1660 Hz.
The speakers are located at coordinates (0,1.57) and (0,-1.57),
with units in meters. A point O on the x-axis a distance
x1 = 9.1 meters away (x1,0) is the location
of an interference maximum. A second point P at (x1,
y2) is the location of the first minimum of sound
intensity when moving away from point O in the...

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 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)

Suppose two speakers are arranged such that they emit identical
sound waves, and are separated by 4m. A microphone is positioned 3m
above one of the speakers. If the speed of sound is 340 m/s, and
both speakers start in phase, are turned on at the same time, and
emit the same frequency, what is the lowest frequency such that the
microphone picks up no sound?
You may ignore amplitude reduction due to distance for this
problem.

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...

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...

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