The figure shows x rays incident on a crystal spectrometer that are reflected from the crystal and used for Compton scattering in a carbon block. Of the wavelengths shown, λ₃ ≠ λ; thus, which of the following expressions is true? A) λ ₁ =λ ₂ = λ ₃= λ ₄ B) λ = λ ₁ λ ₃ C) λ λ

Question

The figure shows x rays incident on a crystal spectrometer that are reflected from the crystal and used for Compton scattering in a carbon block. Of the wavelengths shown, λ₃ ≠ λ; thus, which of the following expressions is true? A) λ ₁ =λ ₂ = λ ₃= λ ₄ B) λ = λ ₁ > λ ₃ C) λ < λ ₂ < λ ₁ < λ ₄ D) λ ₃> λ ₁ = λ ₄ E) λ ₄ > λ ₂ > λ

Quizplus · Accepted Answer

The Compton scattering in the carbon block depends on the wavelength of the incident X-rays, and from the figure, we can see that λ₃ is the wavelength that corresponds to the scattered X-rays. Thus, we need to compare λ₃ with the other wavelengths shown in the figure. We can see that λ₃ is greater than λ₁ and λ₄ but equal to λ₂. Therefore, the correct choice is D.

The Figure Shows X Rays Incident on a Crystal Spectrometer