X-rays with a wavelength of 7.02 * 10^-12 m strike a stationary electron and the reflected photon is scattered 75 degrees relative to the incident photon.What is the wavelength of the scattered photon? A)1.80 * 10^-12 m B)4.59 * 10^-12 m C)8.82 * 10^-12 m D)It could have any wavelength of 7.02 * 10^-12 or longer. E)It could have any wavelength of 7.02 * 10^-12 or shorter.

Question

Quizplus · Accepted Answer

The wavelength of the scattered photon can be calculated using the Compton scattering formula: 
λ' = λ + h/mc(1-cosθ), 
where λ is the wavelength of the incident photon, h is Planck's constant, m is the mass of the electron, c is the speed of light, θ is the scattering angle (75 degrees in this case), and λ' is the wavelength of the scattered photon. 
Substituting the given values, we get: 
λ' = 7.02 x 10^-12 m + (6.63 x 10^-34 Js/(9.11 x 10^-31 kg) x 3 x 10^8 m/s x (1-cos(75))) 
λ' = 8.82 x 10^-12 m 
Therefore, the best choice is C.

X-Rays with a Wavelength of 7