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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) Find the angle between the first minima for the two sodium vapor lines, which have wavelengths of 589.1 and 589.6 nm, when they fall upon a single slit of width 2.00 μm .

(b) What is the distance between these minima if the diffraction pattern falls on a screen 1.00 m from the slit? (c) Discuss the ease or difficulty of measuring such a distance.

To determine

(a)

The angle between the first minima for the two sodium vapor lines, which have wavelengths of 589.1 and 589.6 nm, when they fall upon a single slit of width 2.00µm?

Explanation

Given info:

  λ1=589.1nmλ2=589.6nmD=2μm=2000nmm=1

Formula used:

There is destructive interference for a single slit when,

  Dsinθ=mλ,   m=1,1,2,2....

Calculation:

We have,

  Dsinθ1=mλ12000×sinθ1=1×589

To determine

(b)

What is the distance between these minima if the diffraction pattern falls on a screen 1.00 m from the slit?

To determine

(c)

The ease or difficulty of measuring such a distance?

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