A beam of X-rays of different frequencies is reflected at 10 degrees off a crystal of interatomic spacing 0.2 nm.Which X-ray wavelength is preferentially reflected? A)0.0943 nm B)0.139 nm C)0.069 5 nm D)1.02*10^-¹⁰ m E)3.47 *10^-¹¹ m

Question

Quizplus · Accepted Answer

The Bragg's law states that for constructive interference to occur, 2d sinθ = nλ, where d is the interatomic spacing, θ is the angle of incidence, n is the order of the reflection, and λ is the wavelength of the X-ray. Rearranging the equation, we get λ = 2d sinθ/n.

In this case, θ = 10 degrees, d = 0.2 nm, and n = 1. Plugging these values into the equation, we get λ = 0.0695 nm. Therefore, option C is the best choice as it corresponds to the wavelength preferentially reflected.

A Beam of X-Rays of Different Frequencies Is Reflected at 10