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

Frequency is

Explanation:

Distance between source 1 from the receiver ,

Distance between source 2 from the receiver ,

Now ,

Path difference ,

We know, for constructive interference path difference should be integral multiple of wavelength .  

Therefore,

It is given that n = 1,

Therefore,

Frequency can be found by ,

Hence, this is the required solution.