   Chapter 27, Problem 34PE

Chapter
Section
Textbook Problem

Show that a diffraction grating cannot produce a second-order maximum for a given wavelength of light unless the first-order maximum is at an angle less than 30.0°.

To determine

To show:

A diffraction grating cannot produce a second order maximum

Explanation

Given info:

A diffraction grating cannot that produces a second order maximum for a given wavelength of light unless the first order maximum is at an angle less than 30ο

Formula used:

For diffraction grating,

dsinθ=mλ

Here, d is the distance between slits, λ is the wavelength of light, m is the order of the maximum and θ is the angle from the original direction of the beam.

Calculation:

As slit separation and wavelength of light are same for the both the orders, so

For first order maximum,

dsinθ1=λ

And for second order maximum,

dsin

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