Answered: Using a diffraction grating with 4000…

Using a diffraction grating with 4000 lines/cm, the fourth order of a wavelength appears at 10°. Determine the wavelength and then determine at what angle the second order will appear.

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

Using a diffraction grating with 4000 lines/cm, the fourth order of a wavelength appears at 10°. Determine the wavelength and then determine at what angle the second order will appear.

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