At what angle are x-rays with a wavelength of 175 pm diffracted by layers of atoms that are 353 pm apart?
(Assume n = 1)

Question

Quizplus · Accepted Answer

We can use the Bragg's Law equation: 
nλ = 2d sinθ 
where n = 1 (given), λ = 175 pm, d = 353 pm, and we need to find θ. 
Rearranging the equation, we get: 
sinθ = (nλ)/(2d) 
sinθ = (1)(175 pm)/(2)(353 pm) 
sinθ = 0.248 
Taking the inverse sine of both sides, we get: 
θ = 14.4° 
Therefore, the answer is A) 14.4°.

At What Angle Are X-Rays with a Wavelength of 175