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## Homework Statement

Two in-phase loudspeakers, which emit sound in all directions,

are sitting side by side. One of them is moved sideways by 3.0 m,

then forward by 4.0 m. Afterward, constructive interference is

observed 1/4 and 3/4

of the distance between the speakers along the

line that joins them. What is the maximum possible wavelength

of the sound waves?

## Homework Equations

Δr=r2 - r1 =mλ

## The Attempt at a Solution

The 2 speakers are separated by 5 m, so one speaker is r1= 1/4 x 5m = 1.25m from the point of constructive interference, another speaker is r2=3/4 x 5m = 3.75m from the point of constructive interference.

Δr=r2 - r1 =mλ

= 3.75m-1.25m=2.50m =mλ

So λ=2.5/m

I got λmax=2.5m when m=1

But the answer is 5meters. I don't know why.

Any help is appreciated!