FM station KCOM transmits simultaneously, at a frequency of 99.9 MHz, from two b
ID: 2135386 • Letter: F
Question
FM station KCOM transmits simultaneously, at a frequency of 99.9 MHz, from two broadcast towers placed precisely 31.5 m apart along a north-south line.a. What is the wavelength of KCOM's transmissions?
b. Suppose you stand 90.0 m due east of the point halfway between the two towers with your portable FM radio. Will you receive a strong or weak signal at this position? Why?
c. You then stand 90.0 m due north of the northern tower with your radio. Will you receive a strong or weak signal at this position? Why
Explanation / Answer
a) =c/f=3*108/99.9*106=3m
b) Since the person is equidistant from both the towers, the interference is constructive and the person will recieve a strong signal.
c)at 90m due north of northern radio,
the path difference=31.5m=10.5= A path difference of 0.5.
Since a path difference of 0.5 means out of phase,
the person will recieve a weak signal.
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