Light containing a mixture of two wavelengths, 500nm and 600nm, is incident normally on a diffraction grating. It is desired (1) that the first and second maxima (m=1 and m=2) for each wavelength appear at 0<30°, (2) that the dispersion be as high as possible, and (3) that the third order (m=3) for 600nm be a missing order. (a) What should be the slit separation? (b) What is the smallest possible individual slit width? (c) For the 600nm wavelength, which orders of the intensity maxima (which m) are

Light containing a mixture of two wavelengths, 500nm and 600nm, is incident normally on a diffraction grating. It is desired (1) that the first and second maxima (m=1 and m=2) for each wavelength appear at 0<30°, (2) that the dispersion be as high as possible, and (3) that the third order (m=3) for 600nm be a missing order. (a) What should be the slit separation? (b) What is the smallest possible individual slit width? (c) For the 600nm wavelength, which orders of the intensity maxima (which m) are

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 75P: The structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest...

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Concept explainers

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.

Question

Light containing a mixture of two wavelengths, 500nm and 600nm, is incident normally on a
diffraction grating. It is desired (1) that the first and second maxima (m=1 and m=2) for each
wavelength appear at 0<30°, (2) that the dispersion be as high as possible, and (3) that the third
order (m=3) for 600nm be a missing order.
(a) What should be the slit separation?
(b) What is the smallest possible individual slit width?
(c) For the 600nm wavelength, which orders of the intensity maxima (which m) are
produced by the grating, assuming the values derived in (a) and (b)?

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