X-rays of wavelength 0.350 nm are incident on a material. Scattered X-rays are observed at an angle of 60^o to the incident beam. The fraction of energy lost by the photon is

Question

Quizplus · Accepted Answer

The energy loss by the photon during scattering can be calculated using the Compton scattering formula, which relates the change in wavelength ($\Delta \lambda$) to the scattering angle ($\theta$). The formula is $\Delta \lambda = \lambda' - \lambda = \frac{h}{m_e c} (1 - \cos \theta)$, where $h$ is Planck's constant, $m_e$ is the electron mass, $c$ is the speed of light, and $\theta$ is the scattering angle. The fraction of energy lost is related to the change in wavelength. Given the scattering angle of 60 degrees and the initial wavelength, we can calculate the change in wavelength and subsequently the fraction of energy lost. The correct calculation leads to the fraction of energy lost being closest to the value given in option B.

X-Rays of Wavelength 0