Suppose that you have an x-ray source that produces a continuous spectrum of wavelengths, with the shortest wavelength being 0.3 × 10−10 m. You have a crystal whose atoms are known to be arranged in a...

Suppose that you have an x-ray source that produces a continuous spectrum of wavelengths, with the shortest wavelength

being 0.3 × 10−10 m. You have a crystal whose atoms are known to be arranged in a cubic array with the distance between

nearest neighbors equal to 1.2 × 10−10 m.

(a) Design an arrangement of x-ray beam and crystal orientation that will give you a monochromatic beam of x-rays

whose wavelength is 0.5 × 10−10 m. Explain your arrangement carefully and fully in a diagram.

(b) If the shortest wavelength in the x-ray spectrum were 0.2 × 10−10 m instead of 0.3 × 10−10 m, explain why your

beam would not be a pure single-wavelength beam.