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A steep cliff west of Lydia's home reflects a 995 kHz radio signal from a station that is 74 km due east of her home. If there is destructive interference, what is the minimum distance of the cliff from her home? Assume there is a 180° phase shift when the wave reflects from the cliff.
in m

2007-10-12 06:05:45 · 2 answers · asked by romaine_style 1 in Science & Mathematics Physics

2 answers

The wavelength of the signal in meters is c (in m/s)/995000. For destructive interference, the distance must be such that in the trip from house to cliff and back the wave undergoes a phase change of an integer number of wavelengths + 180 deg. Since the trip includes a 180 deg shift at reflection, the trip length must be the smallest integer number of wavelengths that fit the problem. 0 wavelengths doesn't work since the cliff wouldn't be west, or any direction, from the house. 1 wavelength would work, so the cliff is 1/2 wavelength distant.

2007-10-12 07:31:50 · answer #1 · answered by kirchwey 7 · 2 0

Steep Cliff

2016-10-02 21:34:31 · answer #2 · answered by ? 4 · 0 1

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