American Society of Radiologic Technologist (ASRT) Practice Exam

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What is the formula for calculating the energy of a scattered photon created during a Compton scattering interaction?

Ei = Es + (Eb + EKE)
Ei = Es - (Eb + EKE)
Ei = Es * (Eb + EKE)
Ei = Es / (Eb + EKE)

The correct answer is: Ei = Es + (Eb + EKE)

The formula for calculating the energy of a scattered photon during a Compton scattering interaction is based on the conservation of energy principle. In this context, the initial energy of the incoming photon (Ei) is equal to the energy of the scattered photon (Es) plus the energy transferred to the electron, which consists of its binding energy (Eb) and its kinetic energy (EKE) after the interaction. By using the equation Ei = Es + (Eb + EKE), we recognize that the total energy before the scattering event (the energy of the incoming photon) should equal the total energy after the event (the energy of the scattered photon plus the energy imparted to the electron). This reflects the core concept of conservation of energy, where energy is neither created nor destroyed but transferred from one form to another. Other options do not accurately represent this principle of conservation of energy within the context of Compton scattering, making them inappropriate for describing the interaction correctly.