Calculating the Compton Wavelength Shift
A beam of monochromatic X-rays with an initial wavelength \(\lambda_i = 0.070\,\text{nm}\) is incident on a target containing free electrons. Using the Compton scattering formula \(\Delta\lambda = \frac{h}{m_e c}(1-\cos\theta)\), calculate the change in wavelength \(\Delta\lambda\) when the photons are scattered at an angle \(\theta = 90^\circ\) relative to the incident direction. (Use values for constants […]