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633.


Problem 45.19 (RHK)


Source A of long-range radio waves leads source B by . The distance to a detector is greater than the distance by 100 m. We have to find the phase difference at the detector. Both sources have a wavelength of 400 m.


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It is given that the radio wave emitted by source A leads the wave of the same wavelength emitted by source B by . The two waves can therefore be described by the functions

The phase difference at the detector will therefore be

It is given that the difference between the distances to the detector from the two sources is 400 m. That is

.

The wavelength of the radio waves is 100 m. We thus find that the difference in phase between the two waves at the detector will be