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
University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:William Moebs, Jeff Sanny
Chapter4: Diffraction
Section: Chapter Questions
Problem 102AP: Radio telescopes are telescopes used for the detection of radio emission from space. Because radio...
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