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Two speakers emit the same sound wave, identical frequency, wavelength, and amplitude. What other quantity would be necessary to determine if constructive or destructive interference occurs at a particular point some distance from the speakers?

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Answer:

Phase Difference

Step-by-step explanation:

When the sound waves have same wavelength, frequency and amplitude we just need the phase difference between them at a particular location to determine whether the waves are in constructive interference or destructive interference.

Interference is a phenomenon in which there is superposition of two coherent waves at a particular location in the medium of propagation.

When the waves are in constructive interference then we get a resultant wave of maximum amplitude and vice-versa in case of destructive interference.

  • For constructive interference the waves must have either no phase difference or a phase difference of , where n is any natural number.
  • For destructive interference the waves must have a phase difference of n×0.5λ, where n is any odd number.

Two speakers emit the same sound wave, identical frequency, wavelength, and amplitude-example-1
Two speakers emit the same sound wave, identical frequency, wavelength, and amplitude-example-2
Two speakers emit the same sound wave, identical frequency, wavelength, and amplitude-example-3
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