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    Solid Angle of Cylindrical Detector and Intrinsic Peak Efficiency

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    Find the solid angle subtended by the circular end surface of a cylindrical detector
    (diameter of 10 cm) for a point source located 20 cm from the surface along the
    cylindrical axis.

    Also, assume that this detector has an intrinsic peak efficiency at 1 MeV of 12%. The
    point source emits a 1 MeV gamma ray in 80% of its decays and has an activity of 20
    kBq. Neglecting attenuation between the source and detector, calculate the number of
    counts that will appear under the 1 MeV full-energy peak in the pulse height spectrum
    from the detector over a 100 s count.

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    Solution Summary

    This solution contains an annotated diagram and also step-by-step calculations to determine the solid angle of the cylindrical detector using the appropriate cone formula. It also calculates the number of counts that will appear under 1 MeV full-energy peak with more than 100s a count. Brief explanations are included for further topic understanding.