Question

A radio engineer who is concerned about the quality of signal his radio station is able to achieve notices that his radio station has two antennas radiating 6.15 MHz radio waves in phase with each other. They are located at points d1 ( at the origin x = 0) and d2 ( at x = 190 m). What are the first three points on the y axis where the signals will be out of phase that are coming from the two radio antenna sources.

Answer 1

the points on y axis where both signal destructively interfare are the points wave reaches out of phase

so, at y- axis path difference between both waves

d is the distance between two antenna= 190 m

so for destructive interfarence

lambda is wavelength which we write in terms of frequamcy

so equating both

solving for n=1

solving for y we get

for y>>>d

so for n=1 we get

for n=2

y= 246.68 m

for n=3

Y=148m