Radio telescope-puerto rico can detect wave with intensity

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The Arecibo radio telescope in Puerto Rico can detect a wave with an intensity as low as 1x10-23 W/m2. As a “best-case” scenario for communication with extraterrestrials, consider the following: Assume an advanced civilization located at point A, a distance x away from Earth, is somehow able to harness the entire power output of a Sun-like star, converting that power completely into a radio-wave signal which is transmitted uniformly in all directions from A.

1) In order for Arecibo to detect this radio signal, what is the maximum value for x in light-years?

2) How does this maximum value compare with the 100,000-ly size of our Milky Way galaxy?

The intensity of sunlight at Earth’s orbital distance from the Sun in 1350 W/m2

Reference no: EM13672103

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