Wavelength of scattered photon and angle of scattering in the Compton scattering

[Ezequiel]

Homework Statement

In the Compton scattering, a photon of wavelength λ collides with an electron at rest, and a new photon of wavelength λ' emerges at an angle θ. Find λ' y θ.

Energy of incident photon E_i = 1 MeV
Energy of scattered electron E_e = 0.32 MeV

Homework Equations

E = $\frac{hc}{λ}$

λ' - λ = λ_c(1 - cosθ)

(λ_c being Compton wavelength)

The Attempt at a Solution

λ' = $\frac{hc}{E_i - E_e}$ = $\frac{1240 eV · nm}{0.68 MeV}$ = 1.82 pm

θ = cos^-1$\left(\frac{λ - λ'}{λ_c} + 1\right)$ = 40.45°

Am I right?

 

[kuruman]

You are right.