A broken leg with a mass of 5kg receives an equivalent dose of 0.5mSv. If the X-ray energy is 50keV,how many x-ray photons were absorbed?
DT.R = HTwR=0.5×10−31=0.5×10−3Gy\frac{H_T}{w_R}=\frac{0.5\times10^{-3}}{1} = 0.5\times10^{-3} GywRHT=10.5×10−3=0.5×10−3Gy
ϵT=DTmT=(0.5×10−3Gy)(5 kg)=2.5×10−3J\epsilon_T = D_Tm_T = (0.5\times10^{-3}Gy)(5 kg) = 2.5\times10^{-3} JϵT=DTmT=(0.5×10−3Gy)(5 kg)=2.5×10−3J
N = ϵTEphoton=2.5×10−3J(50×10−3MeV)(1.602×10−13JMeV)=3.12×1011\frac{\epsilon_T}{E_{photon}} = \frac{2.5\times10^{-3}J}{(50\times10^{-3}MeV)(1.602\times10^{-13}\frac{J}{MeV})}= 3.12\times 10^{11}EphotonϵT=(50×10−3MeV)(1.602×10−13MeVJ)2.5×10−3J=3.12×1011
Answer: N = 3.12×\times×1011.
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