Quantum Mechanics Help. Compton Scattering Use.

AI Thread Summary
In a Compton scattering experiment, a photon is scattered at a 90-degree angle, while an electron is scattered at 21.4 degrees, prompting the need to determine the wavelength of the scattered photon. The conservation of momentum and energy principles are essential for solving this problem, with relevant equations including momentum (p = h/λ) and energy (E = hc/λ). The Compton wavelength is noted as 2.43 x 10^-12 m for the photon scattering at 90 degrees. The discussion highlights the challenge of applying energy conservation in conjunction with momentum conservation, particularly in the context of relativistic equations. Understanding the relationship between energy and momentum is crucial for accurately solving the problem.
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Homework Statement


In a Compton scattering experiment, a photon is scattered through an angle of 90.0deg, and the electron is scattered through an angle of 21.4deg. Determine the wavelength of the scattered photon


Homework Equations


Conservation of momentum and energy. p = h/lambda, E = hc/lambda


The Attempt at a Solution


Since the angle of scattering is 90.0 deg for the photon the compton wavelength would just be 2.43*10^-12. I know that the momentum is conserved in both directions (x and y) and i got two equations for it but I don't know what to do for energy conservation. What do we use for energy?
 
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Energy and momentum are linked through the relativistic energy-momentum equation.
 
I solved it without the relativistic equations.
 

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