   Chapter 27, Problem 37PE

Chapter
Section
Textbook Problem

€37. (a) Show that a 30,000-line-per-centimeter grating will not produce a maximum for visible light. (b) What is the longest wavelength for which it does produce a first-order maximum? (c) What is the greatest number of lines per centimeter a diffraction grating can have and produce a complete second order spectrum for visible light?

To determine

(a)

That a 30,000-line-per-centimeter grating will not produce a maximum for visible light?

Explanation

Given info:

d=1cm30000=333nm

Formula used:

There is constructive interference for a diffraction grating when,

dsinθ=mλ,   m=0,1,1,2,2

To determine

(b)

What is the longest wavelength for which it does produce a first-order maximum?

To determine

(c)

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

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 