   Chapter 27, Problem 35PE

Chapter
Section
Textbook Problem

If a diffraction grating produces a first-order maximum for the shortest wavelength of visible light at 30.0°, at what angle will the first-order maximum be for the longest wavelength of visible light?

To determine

At what angle will the first order maximum be for the longest wavelength of visible light?

Explanation

Given info:

A diffraction grating that produces a first order maximum for the shortest wavelength of visible light at 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:

First order maximum for shortest wavelength,

dsinθ1=λ1d=λ1sinθ1=3.80× 10 7msin 30ο=7

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