   Chapter 27, Problem 53PE

Chapter
Section
Textbook Problem

(a) If a single slit produces a first minimum at 14.5°, at what angle is the second-order minimum? (b) What is the angle of the third-order minimum? (c) Is there a fourth-order minimum? (d) Use your answers to illustrate how the angular width of the central maximum is about twice the angular width of the next maximum (which is the angle between the first and second minima).

To determine

(a)

At what angle is the second-order minimum if a single slit produces a first minimum at 14.5°?

Explanation

Given info:

θ1=14.50m=1

Formula used:

There is destructive interference for a single slit when,

Dsinθ=mλ,   m=1,1,2,2....

Calculation:

We have,

Dsinθ1=λD×sin14.5=λ0

To determine

(b)

What is the angle of the third-order minimum?

To determine

(c)

Is there a fourth-order minimum?

To determine

(d)

How the angular width of the central maximum is about twice the angular width of the next maximum?

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