White light is incident on a diffraction grating with 455 lines/mm. HINT (a) Calculate the angle 0, (in degrees) to the second-order maximum for a wavelength of 640 nm. r2 16.92 (b) Calculate the wavelength in nm of light with a third-order maximum at the same angle 0 2. nm

White light is incident on a diffraction grating with 455 lines/mm. HINT (a) Calculate the angle 0, (in degrees) to the second-order maximum for a wavelength of 640 nm. r2 16.92 (b) Calculate the wavelength in nm of light with a third-order maximum at the same angle 0 2. nm

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter36: Applications Of The Wave Model

Section: Chapter Questions

Problem 32PQ

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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

White light is incident on a diffraction grating with 455 lines/mm.
HINT
(a) Calculate the angle 0, (in degrees) to the second-order maximum for a wavelength of 640 nm.
r2
16.92
(b) Calculate the wavelength in nm of light with a third-order maximum at the same angle 0
r2'
nm

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