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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.)

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