Question

In a certain large field, the only objects are two speakers set some distance apart. Both speakers are producing sound, in phase, with a wavelength of 4 m. You are wandering around this field, and you notice that at certain locations, the sound you hear is surprisingly loud, while at others it seems unusually quiet. You conclude that you are observing the effects of interference between the two sources of sound waves. For each of the locations given below, indicate what sort of interference would occur at that point.

Answer 1

We have, phase ф--(4-4), where, л_4m For constructive interf errence: 0-0, 2x, 4x, 6x 1) 8m from each speaker 2) 11m from one speaker and 7m from other 3) 20m from one speaker and 12m from other For destructive interferrence: ф х,3x, 5x, 7x 1) 10m from one speaker and 8m from other 2) 21m from one speaker and 15m from other In between: -except above 1) 11m from one speaker and 14m from other 2) 19m from one speaker and 14m from other