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(a) What resolution is required for a diffraction grating to resolve wavelengths of

Chapter 19, Problem 19-11

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QUESTION:

(a) What resolution is required for a diffraction grating to resolve wavelengths of 512.23 and 512.26 nm? (b) With a resolution of 104 , how close in nm is the closest line to 512.23 nm that can barely be resolved? (c) Calculate the fourth-order resolution of a grating that is 8.00 cm long and is ruled at 185 lines/mm. (d) Find the angular dispersion ( ) between light rays with wavelengths of 512.23 and 512.26 nm for first-order diffraction (n 1) and thirtieth-order diffraction from a grating with 250 lines/mm and 3.0. 1

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QUESTION:

(a) What resolution is required for a diffraction grating to resolve wavelengths of 512.23 and 512.26 nm? (b) With a resolution of 104 , how close in nm is the closest line to 512.23 nm that can barely be resolved? (c) Calculate the fourth-order resolution of a grating that is 8.00 cm long and is ruled at 185 lines/mm. (d) Find the angular dispersion ( ) between light rays with wavelengths of 512.23 and 512.26 nm for first-order diffraction (n 1) and thirtieth-order diffraction from a grating with 250 lines/mm and 3.0. 1

ANSWER:

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a) Resolution is:

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