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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

(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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