|Mar9-06, 08:44 PM||#1|
Given for the problem:
A speaker sends out two sound waves with equal Amplitudes but the frequencies are f(1) and f(2) respectively. The motion of sound as w = A * cos(k*x - t*(Omega)). The wave number's and the angular frequency's definition are the same for light.
Find for the problem:
Show that at a distance x directly in front of the speaker, there is destructive interference between the waves with a frequency f(1) - f(2).
My solution so far:
w(1) = A * cos((2PI/(Lambda(1))) * x - (2PI * f(1) * t)
w(2) = A * cos((2PI/(Lambda(2))) * x - (2PI * f(2) * t)
I assume that the final equation will be in the form of:
dt = (x / v) - t
where v is the speed of sound
A little advice please!
|Mar9-06, 10:53 PM||#2|
I hope i put this in the right section... It is a Sophmre level physics class...
|Mar10-06, 07:09 AM||#3|
|Mar10-06, 11:29 PM||#4|
"Destructive Interference" in this case is time-dependent cancellation of the total amplitude (that means add the wave functions), at any location.
This is in contrast to location-dependent cancellation of the total amplitude
(an interference pattern) at all time.
Choose an x-value, and add the wave forms ; see when (time) they cancel.
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