Physics

Problem

\gamma

-ray photon of wavelength

0.010\,\text{nm}

strikes a free, stationary electron and is scattered through an angle of

90^{\circ}

. Useful constants:

h = 6.63\times10^{-34}\,\text{J\,s}

c = 3.00\times10^{8}\,\text{m\,s}^{-1}

, electron mass

m_{e}=9.11\times10^{-31}\,\text{kg}

1\,\text{eV}=1.60\times10^{-19}\,\text{J}

, and

\lambda_{\!C}=0.00243\,\text{nm}

. Answer all parts clearly, showing your work. a. Part 1: (a) Calculate the energy of the incident photon in joules. b. Part 2: (b) Determine the wavelength of the scattered photon. c. Part 3: (c) Compute the kinetic energy of the recoil electron in electron-volts. d. 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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