Find the approximate solid angle for a source-detector arrangement whereby a 5-cm diameterdetector is placed 30-cm from a point source which emits gammas isotropically. Formally, onewould find a solid angle by integrating sinθ dθ dφ over appropriate θ and φ limits given by thesize of the detector at the given distance from the source. However, a good approximation is touse the ratio of the detector area to the surface area of a sphere at the detector distance to findthe fraction of 4-pi which the detector covers

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter24: Electromagnetic Waves
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Problem 53P
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Find the approximate solid angle for a source-detector arrangement whereby a 5-cm diameter
detector is placed 30-cm from a point source which emits gammas isotropically. Formally, one
would find a solid angle by integrating sinθ dθ dφ over appropriate θ and φ limits given by the
size of the detector at the given distance from the source. However, a good approximation is to
use the ratio of the detector area to the surface area of a sphere at the detector distance to find
the fraction of 4-pi which the detector covers

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