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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 d sine d sine 1 of 1 > Part A An x-ray beam with wavelength 0.160 nm is directed at a crystal. As the angle of incidence increases, you observe the first strong interference maximum at an angle 24.0°. What is the spacing d between the planes of the crystal? Express your answer in nanometers to four significant figures. Π| ΑΣΦ d= 0.08757 Submit Previous Answers Request Answer ? X Incorrect; Try Again; 5 attempts remaining ▾ Part B nm Find the angle 02 at which you will find a second maximum. Express your answer in degrees to three significant figures. [ΨΕΙ ΑΣΦ ? O

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 d sine d sine 1 of 1 > Part A An x-ray beam with wavelength 0.160 nm is directed at a crystal. As the angle of incidence increases, you observe the first strong interference maximum at an angle 24.0°. What is the spacing d between the planes of the crystal? Express your answer in nanometers to four significant figures. Π| ΑΣΦ d= 0.08757 Submit Previous Answers Request Answer ? X Incorrect; Try Again; 5 attempts remaining ▾ Part B nm Find the angle 02 at which you will find a second maximum. Express your answer in degrees to three significant figures. [ΨΕΙ ΑΣΦ ? O

College Physics
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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Part C Will you observe a third maximum? Choose the most complete answer. ► View Available Hint(s) Yes, because all crystals have at least three planes. Yes, because the diffraction pattern has an infinite number of maxima. No, because the angle of a third maximum is greater than 180°. No, because the existence of such a maximum produces an unphysical result such as the sine of an angle being greater than one.
Transcribed Image Text:Part C Will you observe a third maximum? Choose the most complete answer. ► View Available Hint(s) Yes, because all crystals have at least three planes. Yes, because the diffraction pattern has an infinite number of maxima. No, because the angle of a third maximum is greater than 180°. No, because the existence of such a maximum produces an unphysical result such as the sine of an angle being greater than one.
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 d sine d sine < 1 of 1 ▼ Part A An x-ray beam with wavelength 0.160 nm is directed at a crystal. As the angle of incidence increases, you observe the first strong interference maximum at an angle 24.0°. What is the spacing d between the planes of the crystal? Express your answer in nanometers to four significant figures. d= 0.08757 Submit ΠΙ ΑΣΦ Part B Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining 0₂= ? Find the angle 02 at which you will find a second maximum. Express your answer in degrees to three significant figures. VE ΑΣΦ nm ? Review | Constants
Transcribed Image Text: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 d sine d sine < 1 of 1 ▼ Part A An x-ray beam with wavelength 0.160 nm is directed at a crystal. As the angle of incidence increases, you observe the first strong interference maximum at an angle 24.0°. What is the spacing d between the planes of the crystal? Express your answer in nanometers to four significant figures. d= 0.08757 Submit ΠΙ ΑΣΦ Part B Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining 0₂= ? Find the angle 02 at which you will find a second maximum. Express your answer in degrees to three significant figures. VE ΑΣΦ nm ? Review | Constants
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