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Some satellites use nuclear power. (a) If such a satellite emits a 1.00 -W flux of $y$ rays having an average energy of 0.500 MeV, how many are emitted per second? (b) These $\gamma$ rays affect other satellites. How far away must another satellite be to only receive one $\gamma$ ray per second per square meter?

a) $1.25 \times 10^{13}$ photons/sb) 997 $\mathrm{km}$

Physics 103

Chapter 29

Introduction to Quantum Physics

Quantum Physics

University of Michigan - Ann Arbor

University of Washington

Simon Fraser University

Hope College

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So in this problem, we're seeing this problem in part A. We already know that the total power he is one walks. And for the gamma ray, we have average of power for the photo on equal. Ah, is ah 0.5, maybe TV. All right, so we can figure out to the number of photon each second, so that it would be and is a p overeat. All right, so that gives you 1.25 times 10 to the 13th. Ah, each second. Good. So in part B, we want to know, uh, how for the way we need to push. We need to put two satellites, so that, uh, in each second, we only received one gamma ray full time for each meter squid. So I suppose this is the set light which is emitting the comm array. And this Ah, it's in Beijing. Ah, Ready? Really Ready, Aly? So that's what this is like a spherical. Right? So, uh, we have the area off the spherical equal s is a full pi r spit. Right? Ari is the radius, so we can see that in each unit area the number of gamma gamma full time we have is in equal 1.25 times 10 to the 13th which is the total number of four times in one second. Right divide by s. So this should be equal toe one as we, uh as we read from the problem. So we can so full if we pluck the video off are the expression of our four players are squid into this expression and we're gonna so for the radius far. And we say that our is a 997 kilometers three. So we need to put two satellites at least a 997 kilometers away so that each second there is only one gunnery photo accepted by the other one.

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