Two radio sources in the xy plane are in phase and emitting the same wavelength, λ. Their locations are at coordinates (0,0) and (3λ,0). Show that the largest value of y at which fully destructive intereference may occur at coordinates (0, y) is given by
Maximum destructive interference : dsinθ=(m+1/2)λ it’s derived from youngs two slit experiment
and ∆L = dsinθ <<< was used to derive the above, d is the source separation.
The Attempt at a Solution
My train of thought was that since we want the maximum difference in length the angle must be maximum but if the angle was 90 the waves wouldn’t even meet. So I constructed a right triangle from the problem and deduced that the difference in length would be
And this is where i got stuck because I am confused on which angle we are looking at.
Any help is greatly appreciated ! thanks