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Chapter 38: Q 14 (page 1114)

What is the energy, in keV, of 75 keV x-ray photons that are backscattered (i.e., scattered directly back toward the source) by the electrons in a target?

Short Answer

Expert verified

Energy of the x-ray photons is 58 keV.

Step by step solution

01

Step 1. Given information is :75 keV x-ray photons are backscattered by the electrons in a target.

We need to find out the energy of the x-ray photons.

02

Step 2. Using the expression of Compton scattering.

∆λ=λs-λi=hmc(1-cosθ)E=hcλλ=hcEhcEs-hcEi=hmc(1-cosθ)cEs=1mc(1-cosθ)+cEiEs=c1mc(1-cosθ)+cEiEs=3.0×108m/s1(9.11×10-31kg)(3×108m/s)(1-cos180°)+3.0×108m/s75×103×1.6×10-19VEs=58keV

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