Two coherent sources of radio waves, A and B, are 5.00 m apart. Each source emits waves
with wavelength 6.00 m. Consider points only along the line connecting the two sources.
(a) At what distance from source A is there constructive interference between points A and
(b) At what (two) distances from source A is there destructive interference between points
A and B?
Suppose the two sources differ in phase by 90 instead.
(c) At what point(s) between the two sources do we get constructive interference?
(d) What is the nearest point to source A, but on the other side from source B, where we
get destructive interference?
constructive: m*2pi= 2pi delta x / wavelength + phase constant
destructive: (m+1/2) *2pi= 2pi delta x / wavelength + phase constant
The Attempt at a Solution
for parts a/b, i am using phase constant = 0.
i used 0,1,... for m, and plugged into the equation to solve for delta x.
2pi= 2pi delta x / 6m + 0
delta x= 0m, 6m then is 0m the only distance from a where there is constructive interference?
how do you take into account that the sources are 5m apart?
for parts c/d, i am using phase constant = 90
2pi= 2pi delta x / 6m + pi/2
delta x= 9/2 m, 21/2 m is 4.5 m the distance from a for constructive interference?
i am assuming there's something i'm missing since the hints from the problem suggest 1 answer to part a, 2 distances for part b, etc.