(ii) Show that the maximum kinetic energy of the recoil electron in Compton scattering is given by KE_max = hf * (2hf / m_e c^2) / (1 + 2hf / m_e c^2)
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Compton scattering is a phenomenon in which a photon scatters off a free charged particle, usually an electron. As a result of the scattering, the photon loses energy, which is transferred to the electron, causing it to recoil. Show more…
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Show that the kinetic energy of the recoil electron in the Compton effect is given by: K.E. = hv / (1 + (hv / mc^2) * (1 - cosθ)) Show that the maximum energy of the recoil electron is: E_max = (hv)^2 / (hv + mec^2) if hv > 0
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Show that the maximum kinetic energy $E_{k}$, called the Compton edge, that a recoiling electron can carry away from a Compton scattering event is given by $$ E_{k}=\frac{h f}{1+m c^{2} / 2 h f}=\frac{2 E_{\gamma}^{2}}{2 E_{\gamma}+m c^{2}} $$
In Compton scattering, calculate the maximum kinetic energy given to the scattered electron for a given photon energy.
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