A -ray photon of wavelength strikes a free

PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Modern Physics · Modern Physics

Problem

A γ\gamma-ray photon of wavelength 0.010 nm0.010\,\text{nm} strikes a free, stationary electron and is scattered through an angle of 90∘90^{\circ}. Useful constants: h=6.63×10−34 J sh = 6.63\times10^{-34}\,\text{J\,s}, c=3.00×108 m s−1c = 3.00\times10^{8}\,\text{m\,s}^{-1}, electron mass me=9.11×10−31 kgm_{e}=9.11\times10^{-31}\,\text{kg}, 1 eV=1.60×10−19 J1\,\text{eV}=1.60\times10^{-19}\,\text{J}, and λ ⁣C=0.00243 nm\lambda_{\!C}=0.00243\,\text{nm}. Answer all parts clearly, showing your work. (1) Part 1: (a) Calculate the energy of the incident photon in joules. (2) Part 2: (b) Determine the wavelength of the scattered photon. (3) Part 3: (c) Compute the kinetic energy of the recoil electron in electron-volts. (4) Part 4: (d) Using the non-relativistic expression for kinetic energy, calculate the speed of the recoil electron and express it as a fraction of the speed of light.

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