X-ray beam attenuation The attenuation coefficient u is a function of the photon energy (keV). Assume the input x-ray spectrum is niformly distributed between 4 keV and 10 keV, and the attenuation coefficient for water changes linearly within this ange with u(4 keV) = 81.1cm and u(10 keV) = 5.33cm'. What fraction of the x-ray photons will reach the detector fter passing through 2 cm of water? (hint : a narrow beam of monoenergetic photons with an incident intensity Io enetrating a layer of material with mass thickness Ax, emerges with intensity I given by the exponential attenuation aw as shown in the image below.)

X-ray beam attenuation The attenuation coefficient u is a function of the photon energy (keV). Assume the input x-ray spectrum is niformly distributed between 4 keV and 10 keV, and the attenuation coefficient for water changes linearly within this ange with u(4 keV) = 81.1cm and u(10 keV) = 5.33cm'. What fraction of the x-ray photons will reach the detector fter passing through 2 cm of water? (hint : a narrow beam of monoenergetic photons with an incident intensity Io enetrating a layer of material with mass thickness Ax, emerges with intensity I given by the exponential attenuation aw as shown in the image below.)