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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

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BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
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?

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