When an x-ray beam is scattered off the planes of a crystal, the scattered beam creates an interference pattern. This phenomenon is called Bragg scattering. For an observer to measure an interference maximum, two conditions have to be satisfied: 1. The angle of incidence has to be equal to the angle of reflection. 2. The difference in the beam's path from a source to an observer for neighboring planes has to be equal to an integer multiple of the wavelength; that is, 2d sin(0) = mx for m=1,2,.... The path difference 2d sin(0) can be determined from the diagram (Figure 1). The second condition is known as the Bragg condition. Figure 1 of 1 d sine d sine Part A An x-ray beam with wavelength 0.260 nm is directed at a crystal. As the angle of incidence increases, you observe the first strong interference maximum at an angle 20.5°. What is the spacing d between the planes of the crystal? Express your answer in nanometers to four significant figures. 15. ΑΣΦ ? d= Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B Find the angle 02 at which you will find a second maximum. Express your answer in degrees to three significant figures. [ΠΙ ΑΣΦ ? 0₂ = nm 0

When an x-ray beam is scattered off the planes of a crystal, the scattered beam creates an interference pattern. This phenomenon is called Bragg scattering. For an observer to measure an interference maximum, two conditions have to be satisfied: 1. The angle of incidence has to be equal to the angle of reflection. 2. The difference in the beam's path from a source to an observer for neighboring planes has to be equal to an integer multiple of the wavelength; that is, 2d sin(0) = mx for m=1,2,.... The path difference 2d sin(0) can be determined from the diagram (Figure 1). The second condition is known as the Bragg condition. Figure 1 of 1 d sine d sine Part A An x-ray beam with wavelength 0.260 nm is directed at a crystal. As the angle of incidence increases, you observe the first strong interference maximum at an angle 20.5°. What is the spacing d between the planes of the crystal? Express your answer in nanometers to four significant figures. 15. ΑΣΦ ? d= Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B Find the angle 02 at which you will find a second maximum. Express your answer in degrees to three significant figures. [ΠΙ ΑΣΦ ? 0₂ = nm 0

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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