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blueberryRhyme

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- Homework Statement
- An X-ray beam of wavelength λ is directed along the x-axis in the positive x direc- tion and collides with carbon atoms. Electrons with a range of energies and veloc- ities are produced via the Compton Effect. The electrons with an x-component of momentum of nearly 2h/λ are produced by photons that are scattered at an angle closest to:

A. 0 radians B. π/4 radians C. π/2 radians D. 3π/4 radians E. π radians

- Relevant Equations
- Lambda = h/p, Compton shift = h/mc (1-cos theta)

Solution given:

The minimum kinetic energy electrons will arise from a change in photon energy on scattering that is a minimum and this will arise from the smallest wavelength change of the photon. The Compton scattering formula is

∆λ = (h/mc)(1 − cos φ) which is minimised when 1 = cos φ. This occurs for φ = 0-why electron would have minimum Kinetic energy when it’s momentum is 2h/lambda ?.

The minimum kinetic energy electrons will arise from a change in photon energy on scattering that is a minimum and this will arise from the smallest wavelength change of the photon. The Compton scattering formula is

∆λ = (h/mc)(1 − cos φ) which is minimised when 1 = cos φ. This occurs for φ = 0-why electron would have minimum Kinetic energy when it’s momentum is 2h/lambda ?.

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