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?
a. The wavelength of the sound is
b. If the distance between the speakers continues to increase, the sound intensity again be a maximum when the separation is
For maximum intensity, distance between speakers is
For zero intensity, distance between speakers is
We know that the interference of waves occurs due to the phase difference between two waves.
Therefore, according to the condition of interference, if is the wavelength of the sound wave, then we can write,
For interference of waves, the distance between two maxima or minima is equal to the wavelength of the sound wave.
Initially, the difference between two speakers for maximum intensity was
Wavelength of the sound wave is
Therefore, if the distance between the speakers is increased, the distance between the speakers should be, when the speakers will be at maximum intensity again.
Two loudspeakers emit sound waves along the x-axis. A listener in front of both speakers hears a maximum sound intensity when speaker 2 is at the origin and speaker 1 is at x = 0.50 m. If speaker 1 is slowly moved forward, the sound intensity decreases and then increases, reaching another maximum when speaker 1 is at x = 0.90 m.
a. What is the frequency of the sound? Assume vsound = 340 m/s.
b. What is the phase difference between the speakers?
The 40-cm-long tube of FIGURE P17.54 has a 40-cm-long insert
that can be pulled in and out. A vibrating tuning fork is held next to the
tube. As the insert is slowly pulled out, the sound from the tuning fork
creates standing waves in the tube when the total length L is 42.5 cm, 56.7 cm, and 70.9 cm. What is the frequency of the tuning fork? Assume vsound = 343 m/s.
FIGURE EX17.28 shows the circular wave fronts emitted by two
a. Are these sources in phase or out of phase? Explain.
b. Make a table with rows labeled P, Q, and R and columns
labeled and C/D. Fill in the table for points P, Q,
and R, giving the distances as multiples of l and indicating,
with a C or a D, whether the interference at that point is
constructive or destructive.
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