Two speakers are wired to emit identical sounds in unison. the wavelength in air of the sounds is 6 m. do the sounds interfere constructively or destructively at a point 10 m from both speakers?

Costructively

Explanation:

The condition for constructive interference is:

(1)

where

d1 is the distance of the point from the 1st source

d2 is the distance of the point from the 2nd source

n is an integer number

is the wavelength of the wave (in this case, 6 meters)

In this problem, we are considering a point which is 10 m from both speakers, so we have:

And so eq.(1) is satisfied when n=0, which is an integer. Therefore, constructive interference occurs.

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