Frank D. Drake, an investigator in the SETI (Search for Extra-Terrestrial Intelligence) program, once said that the large radio telescope in Arecibo, Puerto Rico , “can detect a signal which lays down on the entire surface of the earth a power of only one picowatt.” (a) What is the power that would be received by the Arecibo antenna for such a signal? The antenna diameter is 300 m. (b) What would be the power of an isotropic source at the center of our galaxy that could provide such a signal? The galactic center is 2.2 * 10^4 ly away. A light-year is the distance light travels in one year.

College Physics
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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Frank D. Drake, an investigator in the SETI (Search for
Extra-Terrestrial Intelligence) program, once said that the large
radio telescope in Arecibo, Puerto Rico , “can detect a
signal which lays down on the entire surface of the earth a power
of only one picowatt.” (a) What is the power that would be
received by the Arecibo antenna for such a signal? The antenna diameter
is 300 m. (b) What would be the power of an isotropic
source at the center of our galaxy that could provide such a signal?
The galactic center is 2.2 * 10^4 ly away. A light-year is the distance
light travels in one year.

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