178k views
2 votes
A person stands 6.00 m from one speaker and 8.00 m from an identical speaker. If there is a destructive interference where n = 1, what is the wavelength?

User Gosia
by
6.7k points

1 Answer

7 votes

Final answer:

The wavelength is 2.00 m.

Step-by-step explanation:

To determine the wavelength, we can use the formula:

λ = β / n

where λ is the wavelength, β is the path length difference, and n is the order of destructive interference.

In this case, the person is standing 6.00 m from one speaker and 8.00 m from the other speaker.

The path length difference is the difference in distances, which is

8.00 m - 6.00 m = 2.00 m.

Since n = 1, we plug in the values into the formula:

λ = 2.00 m / 1 = 2.00 m

Therefore, the wavelength is 2.00 m.

User Greeny
by
7.2k points