Two speakers are spaced 15 m apart and are both producing an identical sound wave. you are standing at a spot as pictured. what would be the frequency produced by the speakers to create perfectly constructive interference? assume n = 1 and v = 343 m/s.

213.04 hz

256.70 hz

186.68 hz

233.14 hz

Option (a) is the correct answer.

Explanation:

Using the Pythagoras theorem, we will calculate the the distance of and as follows.

                   = 24.17

                   = 22.56

Therefore, the path difference will be as follows.

                      = 24.17 - 22.56

                      = 1.61 m

Formula for constructive interference is as follows.

                      = 1.61 m      (for n = 1)  

Therefore, frequency will be calculated as follows.

                            =

                            = 213.043 Hz

Thus, we can conclude that frequency produced by the speakers to create perfectly constructive interference is 213.04 Hz.

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