Interference of sound waves
two identical speakers are found at points (-x0, 0), (+x0, 0). they have the same phase and emit sinus waves with same amplitude a0 . (sound speed; v = 340 m/s)
a) what's the wavelength ? and wavenumber k of the oscillations when the speakers' frequency f is 1.1 khz?
b) how to both signals overlap along the connecting line between the speakers? consider both signals to be plane waves and write the result as a product of a location and a time dependent component. at which point is no signal heard?
note: cos(a) + cos(b) = 2 cos ((a+b)/2)*cos((a-b)/2)
c) now you place a microphone at (xm, 0). the excitation frequency of the speakers the excitation frequency of the speakers
is tuned from 20 hz to 20 khz. what are the 3 lowest frequencies that produce destructive interference at the location of the microphone? use x0 = 15m, xm = 5m .