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GATE 2021 BM – Question 63

Medical Imaging Systems · X-Ray and Computed Tomography · 2 marks · Numerical answer

An 80 kVp X-ray system uses a 2.5 mm aluminium filter, replaced by copper for equal attenuation. Mass attenuation coefficients are 0.02015 m²/kg for Al and 0.07519 m²/kg for Cu; densities are 2699 and 8960 kg/m³. Find copper thickness in mm to two decimals.

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Correct answer: 0.15 to 0.25

Explanation

Equal attenuation requires equal products of mass attenuation coefficient, density and thickness: (μ/ρ)AlρAl tAl=(μ/ρ)CuρCu tCu. Hence tCu=2.5×.02015×2699/(.07519×8960)≈.2018 mm, rounding to .20 mm. The source uses these effective coefficients for its beam model.

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