When a certain crystal is illuminated with an X-ray source of unknown wavelength, a first-order X-ray diffraction maximum is observed at an angle of 27.1∘∘. (All angles are measured relative to the Bragg plane.) When illuminated with a different source with a known wavelength 0.126 nm, a second-order maximum is detected at 32∘∘. Part A) What is the distance, in nanometers, between the Bragg planes? Part B ) What is the wavelength, in nanometers, of the first, source

When a certain crystal is illuminated with an X-ray source of unknown wavelength, a first-order X-ray diffraction maximum is observed at an angle of 27.1∘∘. (All angles are measured relative to the Bragg plane.) When illuminated with a different source with a known wavelength 0.126 nm, a second-order maximum is detected at 32∘∘. Part A) What is the distance, in nanometers, between the Bragg planes? Part B ) What is the wavelength, in nanometers, of the first, source

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 76P: On a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1°...

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On a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1° relative to its surface, using an X-ray source of unknown wavelength. Additionally, when illuminated with a different, this time of known wavelength 0.137 nm, a second-order maximum is detected at 37.3°. Determine (a) the spacing between the reflecting planes, and (b) the unknown wavelength.
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A He-Ne gas laser which produces monochromatic light of a known wavelength ? =6.35 ? 10^−7 ? is used to calibrate a reflection grating in a spectroscope. The first-orderdiffraction line is found at an angle of 22 degrees to the incident beam. How many lines per meter are there on the grating?