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Chapter 33: Q. 26 (page 956)

Infrared light of wavelength 2.5渭milluminates a 0.20-mmdiameter hole. What is the angle of the first dark fringe in radians? In degrees?

Short Answer

Expert verified

Angle of the first dark fringe in radians and in degree is 0.01525rador0.87鈭�

Step by step solution

01

Introduction

Dark Fringe:

Destructive interference causes the dark fringes to appear.

If the resultant amplitude and hence the resultant intensity are both zero, interference is said to be destructive.

02

Find angle of dark fringe 

The angle at which the first dark fringe appears in the circular aperture experiment is given by

胃1=1.22位D

As a result, in our scenario, we'll have

localid="1650215776407" 胃1=1.22脳2.5脳10-6m2脳10-4m

=0.01525rad

03

Dark fringe 

It's easy to convert to degrees if we remember that the complete angle 360掳equals 2蟺. As a result, our perspective will be

localid="1650213775027" 胃1=0.01525rad脳3602蟺

=0.87掳

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