Glencoe Physics: Principles and Problems, Student Edition
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN: 9780078807213
Author: Paul W. Zitzewitz
Publisher: Glencoe/McGraw-Hill
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Chapter 19, Problem 55A
To determine

To explain:The differences in the characteristics of the diffraction patterns formed by given diffraction gratings.

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Introduction:

Diffraction grating is an optical component that comprises of a surface ruled with an equidistant, closely spaced, parallel lines. These lines in the grating are opaque and the spacing between the lines acts as a number of closely placed slits. They can disperse the light beam passing through it and produce a spectrum of light by the principle of diffraction. The diffraction through the grating depends on the wavelength of light and also on the spacing between the lines in the grating.

The expression which relates the spacing between the lines in the diffraction pattern (x) and the slit width (d) of the diffraction grating is given by,

  λxdL

Where, λ is the wavelength of light and L is the distance between the grating and the screen.

The larger the number of lines per cm in the grating, thinner the slit width. Above expression indicates that thinner the slit width, larger the spacing between the lines in the pattern and hence thinner the lines in the diffraction pattern. Therefore the lines in the diffraction pattern produced by diffraction grating containing 105 lines/cm are narrower as compared to that formed by the grating containing 104 lines/cm .

Chapter 19 Solutions

Glencoe Physics: Principles and Problems, Student Edition

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Spectra Interference: Crash Course Physics #40; Author: CrashCourse;https://www.youtube.com/watch?v=-ob7foUzXaY;License: Standard YouTube License, CC-BY