Problem 12: Two speakers placed 0.98 m apart produce pure tones in sync with each other at a frequency of 1225 Hz. A microphone can be moved along a line parallel to the line joining the speakers and 9.6 m from it. An intensity maximum is measured a point Po where the microphone is equidistant from the two speakers. As we move the microphone away from Po to one side, we find intensity minima and maxima alternately. Take the speed of sound in air to be 344 m/s, and you can assume that the slits are close enough together that the equations that describe the interference pattern of light passing through two slits can be applied here.

Principles of Physics: A Calculus-Based Text
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Chapter27: Wave Optics
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Problem 12: Two speakers placed 0.98 m apart produce pure tones in sync with each other at a frequency of 1225 Hz. A microphone can
be moved along a line parallel to the line joining the speakers and 9.6 m from it. An intensity maximum is measured a point Po where the
microphone is equidistant from the two speakers. As we move the microphone away from Po to one side, we find intensity minima and maxima
alternately. Take the speed of sound in air to be 344 m/s, and you can assume that the slits are close enough together that the equations that
describe the interference pattern of light passing through two slits can be applied here.
Part (a) What is the distance, in meters, between Po and the first intensity minimum?
ly'₁l = 1
~Part (b) What is the distance, in meters, between Po and the first intensity maximum?
Part (c) What is the distance, in meters, between Po and the second intensity minimum?
Part (d) What is the distance, in meters, between Po and the second intensity maximum?
Part (e) What is the distance, in meters, between Po and the third intensity minimum?
Transcribed Image Text:Problem 12: Two speakers placed 0.98 m apart produce pure tones in sync with each other at a frequency of 1225 Hz. A microphone can be moved along a line parallel to the line joining the speakers and 9.6 m from it. An intensity maximum is measured a point Po where the microphone is equidistant from the two speakers. As we move the microphone away from Po to one side, we find intensity minima and maxima alternately. Take the speed of sound in air to be 344 m/s, and you can assume that the slits are close enough together that the equations that describe the interference pattern of light passing through two slits can be applied here. Part (a) What is the distance, in meters, between Po and the first intensity minimum? ly'₁l = 1 ~Part (b) What is the distance, in meters, between Po and the first intensity maximum? Part (c) What is the distance, in meters, between Po and the second intensity minimum? Part (d) What is the distance, in meters, between Po and the second intensity maximum? Part (e) What is the distance, in meters, between Po and the third intensity minimum?
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