Question

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?

1. Destructively

2. Neither

3. Constructively

Answer 1

The sounds will interfere constructively at a point 10 m from both speakers.

Step-by-step explanation:

In this scenario, two speakers are emitting identical sounds in unison, and the wavelength of the sounds in the air is 6 m. To determine if the sounds interfere constructively or destructively at a point 10 m from both speakers, we need to look at the phase difference between the waves.

If the phase difference is a multiple of 2π, the waves will interfere constructively. If the phase difference is an odd multiple of π, the waves will interfere destructively.

In this case, the distance between the point and each speaker is the same, so the waves will have traveled the same distance. This means there will be no phase difference, and the waves will interfere constructively. Therefore, the sounds will interfere constructively at a point 10 m from both speakers.