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Kinetic energy and velocity of electron after compton scatte

DeathByKugelBlitz

Gold Member
22
11
1. The problem statement, all variables and given/known data
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?

2. Relevant equations

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


3. 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
 

DeathByKugelBlitz

Gold Member
22
11
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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