Answer:
c) 54°
Explanation:
let h be the planck constant, m be the mass of an electron and c be the speed of light. let λn be the new wavelength and λ be the initial wavelength. [h/(m×c)] = 2.43×10^-12 m.
then, according to compton effect:
Δλ = [h/(m×c)]×(1 - cos(θ))
λn - λ = [h/(m×c)]×(1 - cos(θ))
1 - cos(θ) = (λn - λ)/[h/(m×c)]
cos(θ) = 1 - (λn - λ)/[h/(m×c)]
cos(θ) = 1 - (16×10^-12 - 15×10^-12)/[2.43×10^-12]
cos(θ) = 0.5884773663
θ = 53.95°
≈ 54°
