The scattering angle is: θ = 50.1°
Explanation:
As the Compton's Shift is given as:
Δλ = (h(1-cosθ))/m₀c --- (1)
Where
h/m₀c = 2.426 * 10^-3 nm
Δλ = 0.00087 nm (Given)
Plug in the values in the equation (1) and solve for θ:
θ = [tex]cos^{-1}(0.641)[/tex]
θ = 50.1°