Kinetic energy and velocity of electron after compton scatte

AI Thread Summary
The discussion revolves around a physics homework problem involving Compton scattering, where a photon with an initial wavelength of 0.1120 nm collides with a stationary electron, resulting in a final wavelength of 0.1140 nm. The kinetic energy of the electron after the collision is calculated using the correct rearrangement of the energy equation, E = hc(1/λ - 1/λ'). This approach yields accurate results for the kinetic energy, speed of the electron, and the wavelength of the photon created when the electron is stopped. The initial mistake in the calculation was due to an incorrect formula, which was later corrected. The final answers for all parts of the problem were confirmed to be correct.
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Homework Statement


A photon with an initial wavelength of 0.1120 nm collides with a free electron that is initially at rest. After the collision the wavelength is 0.1140 nm .

a) What is the kinetic energy of the electron after the collision?

b) What is its speed?

c) If the electron is suddenly stopped (for example, in a solid target), all of its kinetic energy is used to create a photon. What is the wavelength of this photon?

Homework Equations



E = hf = pc
p = E/c = hf/c = h/λ
λ' - λ = h/mc(1 - cos∅)

The Attempt at a Solution



E = hc/λ - hc/λ' = hc(1/λ - λ')

= 9.945 x 106 which is marked as incorrect

This would make my answers to parts b) and c) incorrect too
 
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I'm so dumb. The correct way to re-arrange the equation is E = hc(1/λ - 1/λ')

I used this and got all three parts correct :smile:
 
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