The intensity of a radio signal from the radio station varies inversely as the square of the distance from the station. Suppose the the intensity is 8000 units at a distance of 2 miles. What will the intensity be at a distance of 6 miles?

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Answer 1 · 2016-10-07T20:44:11

#(Appr.) 888.89"unit."#

Let #I, and d# resp. denote the intensity of radio signal and the

distance in mile) of the place from the radio station.

We are given that, #I prop 1/d^2 rArr I=k/d^2, or, Id^2=k, kne0.#

When #I=8000, d=2 :. k=8000(2)^2=32000.#

Hence, #Id^2=k=32000#

Now, to find #I", when "d=6#

#:. I=32000/d^2=32000/36~~888.89"unit".#