   Chapter 27, Problem 54PE

Chapter
Section
Textbook Problem

A double slit produces a diffraction pattern that is a combination of single and double slit interference. Find the ratio of the width of the slits to the separation between them, if the first minimum of the single slit pattern falls on the fifth maximum of the double slit pattern. (This will greatly reduce the intensity of the fifth maximum.)

To determine

The ratio of the width of the slits to the separation between them, if the first minimum of the single slit pattern falls on the fifth maximum of the double slit pattern when a double slit produces a diffraction pattern that is a combination of single and double slit interference

Explanation

Given info:

D=3μm=3000nmθ=48.60m=3

Formula used:

There is destructive interference for a single slit when,

Dsinθ=mλ,   m=1,1,2,2....

Calculation:

The problem is asking us to find the ratio of D to d

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