   Chapter 27, Problem 28PE

Chapter
Section
Textbook Problem

What is the maximum number of lines per centimeter a diffraction grating can have and produce a complete first-order spectrum for visible light?

To determine

The maximum number of lines per centimeter a diffraction grating can have and produce a complete first-order spectrum for visible light?

Explanation

Given info:

m=1sinθ=1

Formula used:

There is constructive interference for a diffraction grating when,

dsinθ=mλ,   m=0,1,1,2,2....

Calculation:

The range of visible wavelengths of light in air is 380 - 760 nm

dsinθ=mλd=λdmin=380

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