A gamma-ray photon of energy 100 keV scatters off an electron at an angle perpendicular to its original direction. Calculate the de Broglie wavelength of the recoiling electron. A) 13.5 × 10^-12 m B) 12.4 × 10^-12 m C) 14.8 × 10^-12 m D) 2.4 × 10^-12 m E) 9.54 × 10^-12 m

Question

Quizplus · Accepted Answer

The energy of the recoiling electron can be calculated using the Compton scattering formula. The de Broglie wavelength is then found using λ = h/p, where p is the momentum of the electron. After calculations, the wavelength is approximately 9.54 × 10^-12 m.

A Gamma-Ray Photon of Energy 100 KeV Scatters Off an Electron