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A reflection diffraction grating with 660 lines/mm is used to study the line spe

ID: 2124995 • Letter: A

Question

A reflection diffraction grating with 660 lines/mm is used to study the line spectrum of the light produced by a hydrogen discharge tube with the setup shown below. The grating is 1.0 m from the source (a hole at the center of a meter stick). An observer sees the first-order red line at a distance of y = 428 mm from the hole.


a. calculate the wavelength of the red line in the hydrogen spectrum.

b. according to the bohr model, the energy levels of the hydrogen atom are given by E = -13.6 eV/n^2, where n is an integer labeling the levels. The red line is a transition to a final level with n = 2. Use the Bohr model to determine the value of n for the initial level of the transition.

c. Qualitatively describe how the location of the first-order red line would change if a diffraction grating with 800 lines/mm were used instead of one with 600 lines/mm.


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A reflection diffraction grating with 660 lines/mm is used to study the line spectrum of the light produced by a hydrogen discharge tube with the setup shown below. The grating is 1.0 m from the source (a hole at the center of a meter stick). An observer sees the first-order red line at a distance of y = 428 mm from the hole. calculate the wavelength of the red line in the hydrogen spectrum. according to the bohr model, the energy levels of the hydrogen atom are given by E = -13.6 eV/n^2, where n is an integer labeling the levels. The red line is a transition to a final level with n = 2. Use the Bohr model to determine the value of n for the initial level of the transition. Qualitatively describe how the location of the first-order red line would change if a diffraction grating with 800 lines/mm were used instead of one with 600 lines/mm.

Explanation / Answer

A reflection diffraction grating with 660 lines/mm is used to study the line spe

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