Gamma-ray photons of wavelength are used in a medical imaging experiment

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

Problem

Gamma-ray photons of wavelength 1.20×10−12 m1.20 \times 10^{-12}\,\text{m} are used in a medical imaging experiment. In one event, a photon is scattered through an angle of 110∘110^\circ by an electron that was initially at rest. (a) Calculate the change in wavelength of the photon produced by this scattering event. (b) Determine the magnitude of the linear momentum transferred to the electron. (c) Compute the kinetic energy gained by the electron and express your answer in keV\text{keV}. (d) Explain, without further calculation, whether increasing the initial photon energy would increase, decrease, or leave unchanged the momentum transferred to the electron for the same scattering angle. Justify your answer with physical reasoning.

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