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Two violinists, one directly behind the other, play for a

Chapter 14, Problem 62P

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QUESTION:

Problem 62P

Two violinists, one directly behind the other, play for a listener directly in front of them. Both violinists sound concert A (440 Hz), (a) What is the smallest separation between the violinists that will produce destructive interference for the listener? (b) Does this smallest separation increase or decrease if the violinists produce a note with a higher frequency? (c) Re-peat part (a) for violinists who produce sounds of 540 Hz.

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QUESTION:

Problem 62P

Two violinists, one directly behind the other, play for a listener directly in front of them. Both violinists sound concert A (440 Hz), (a) What is the smallest separation between the violinists that will produce destructive interference for the listener? (b) Does this smallest separation increase or decrease if the violinists produce a note with a higher frequency? (c) Re-peat part (a) for violinists who produce sounds of 540 Hz.

ANSWER:

Step 1 of 5

Here, in this given scenario, we have two violinists who are standing back to back and in front of them a listener is standing. The frequency at which the violinists play is 440 Hz. The objectives in this case are as follows:

  1. Find smallest separation between the violinists to produce destructive interference for the listener.
  2. When violinists produce a higher note frequency, find out if the smallest separation increase or decrease.
  3. Find smallest separation for a different frequency of 540 Hz.

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