Question #167819

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?


1
Expert's answer
2021-03-01T12:38:07-0500

DT.R = HTwR=0.5×1031=0.5×103Gy\frac{H_T}{w_R}=\frac{0.5\times10^{-3}}{1} = 0.5\times10^{-3} Gy

ϵT=DTmT=(0.5×103Gy)(5 kg)=2.5×103J\epsilon_T = D_Tm_T = (0.5\times10^{-3}Gy)(5 kg) = 2.5\times10^{-3} J

N = ϵTEphoton=2.5×103J(50×103MeV)(1.602×1013JMeV)=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}

Answer: N = 3.12×\times1011.


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