Two waves have shown below with the same amplitude, A, and wavelength, , and traveling in the same direction. Initially, the sources (the dot at the origin) are also at the same point. The source of the second wave is then displaced by a distance .
a) For what values of will the superposition of the two waves show total constructive interference? Give at least two values in terms of .
b) For what values of will the superposition of the two waves show total destructive interference? Give at least two values in terms of .