Interferance coherant sources

[Physicist_FTW]

1.
Problem #3
A radio transmitter is placed in the origin of a Cartesian coordinate system and emits a signal at angular frequency ωo. The signal from the transmitter travels freely along the positive x direction until it reaches a wall, at a distance L from the origin. The wall reflects the radio signal back toward the origin. You are walking, with a radio receiver, from the wall to the transmitter:
a) What is the wavelength of the transmitted signal?
b) Find the distance xb from the origin at which you encounter the first maximum of interference.
c) Find the distance xc from the origin at which you encounter the first minimum of interference.
d) How many maxima of interference do you encounter by the time you reach the transmitter?
Assume that the signal wavelength is significantly shorter than the distance between the transmitter and the wall.
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2. wavelength=2(pi)v/w0



3. Wavelength is easy enough to find, i get that i have to find the first point where a half wavlength overlaps a full one, but I am not sure hot to calculate it!

 

[NateD]

4. a) The wavelength of the transmitted signal is 2πv/ω0, where v is the speed of the signal and ω0 is the angular frequency of the transmitter. b) The distance xb from the origin at which you encounter the first maximum of interference is L/2, since the reflected wave will have traveled a distance equal to half of the total distance between the source and the wall. c) The distance xc from the origin at which you encounter the first minimum of interference is 3L/2, since the reflected wave will have traveled a distance equal to three-quarters of the total distance between the source and the wall. d) You will encounter an infinite number of maxima of interference by the time you reach the transmitter.