Modern Physics

What happens to a photon's energy and wavelength after it collides with an electron in Compton scattering?

According to the Compton scattering equation, what happens to the change in wavelength ($\Delta \lambda$) when the scattering angle ($\theta$) is 0 degrees?

A photon with a wavelength of 0.0711 nm is scattered by a free electron. The scattering angle is 90 degrees. What is the wavelength of the scattered photon? (Use the Compton scattering formula: $\Delta \lambda = \frac{h}{m_e c}(1 - \cos \theta)$, where $\frac{h}{m_e c} = 0.00243 \text{ nm}$)

A photon with an initial wavelength of 0.05 nm undergoes Compton scattering. After scattering, the photon's wavelength is measured to be 0.05486 nm. Calculate the scattering angle $\theta$.

A photon with an initial energy of 200 keV undergoes Compton scattering with a scattering angle of 60°. Calculate the kinetic energy of the recoiling electron. (Assume $h = 6.626 \times 10^{-34} \text{ J s}$, $m_e = 9.11 \times 10^{-31} \text{ kg}$, and $c = 3 \times 10^8 \text{ m/s}$)

Which conservation laws are applicable in Compton scattering?

How does Compton scattering support the particle nature of light compared to the wave nature?

Consider three Compton scattering events with scattering angles of 30°, 90°, and 150°. Rank these scenarios from least to most energy transferred from the photon to the electron.