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(a) How far away must you be from a 650-kHz radio station with power 50.0 kW for there to be only one photon per second per square meter? Assume no reflections or absorption, as if you were in deep outer space. (b) Discuss the implications for detecting intelligent life in other solar systems by detecting their radio broadcasts.

a) $3.04 \times 10^{15} \mathrm{m}$b) The distance calculated above is of a light year. Therefore, if radio station from intelligent life in other solar system is to be detected, their broadcast would have to have substantially power outputs for us to detect them.

Physics 103

Chapter 29

Introduction to Quantum Physics

Quantum Physics

University of Michigan - Ann Arbor

University of Washington

Hope College

University of Winnipeg

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our question asks, How far away must you be for a frequency of 650 kilohertz radio station with a power output of 50 kilowatts, which is our energy per unit Time must you be in order to experience on Lee won photons per second per square meter. So before that, we are going to need to use our flux equation, which is our number of photons divided by our surface area and we're trying to sell for are the distance You must be a way so we can bring r squared up and flux down to the bottom of the fraction times for pie. Now, this end value is our number of photons are photons can be found by finding the energy associated with our frequency using planks constant Jules. 10 seconds frequency to find our energy, which is 4.31 times 10 to the negative 28 Jules. And this is the energy perf otan again. The number of photons is our energy at the bottom of our fraction. And that the top our power output, which again was 50 times 10 to the negative, started to positive three. And this is Jules per second So this is going to be a number of photons per second, which gives us a value of 1.16 times. Tend to the 32 photons, and again we can use that value for N to find are the distance away that you need to be to experience one photons. So this is 1.16 times 10 to the 32 photons. And again, our flux is one photons per meter squared, and then our four pipe. So this gives us a distance of 3.4 times 10 to the 15th meters. The distance you need to be away. Never part B. Um, we can look at this of value and say that this is 1/3 of a light year again. That's a distance. So in order for us to be able to detect these radio waves from intelligent life, the new would need to be broadcasting at a very, very high energy level. But with our radio waves and outer space again, that is unlikely that we will be detecting intelligent life via radio waves

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