In an x-ray diffraction experiment, x-rays of fixed wavelength yield a first-order maximum at an incident angle of 12° relative to the surface. At what angle would one expect to find the corresponding third-order maximum?
A) 4.0°
B) 12°
C) 36°
D) 39°
E) more information is needed

Question

Quizplus · Accepted Answer

The angle for the third-order maximum can be found using the formula for diffraction maxima: nλ = 2d sin(θ). Since the first-order maximum is at 12°, the third-order maximum will be at an angle where 3 times the sine of the angle equals the sine of 12°. Solving for θ gives approximately 39°.

In an X-Ray Diffraction Experiment, X-Rays of Fixed Wavelength Yield