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23 Nov 2019

The Arecibo radio telescope in Puerto Rico can detect a wavewithan intensity as low as 1 x 10-23 W/m2.As a“best-case” scenario for communication withextraterrestrials,consider the following: suppose an advancedcivilization located atpoint A, a distance x away from Earth, issomehow able to harnessthe entire power output of a Sun-like star,converting that powercompletely into a radio-wave signal which istransmitted uniformlyin all directions from A.

a) in order for Arecibo to detect this radio signal, what isthemaximum value for x in light-years?

b) How does this maximum value compare with the 100,000-lysizeof our Milky Way galazy?

The intensity of sunlight at Earth’s orbital distance fromtheSun in 1350 W/m2.

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