Monochromatic light of wavelength ? = 620 nm from a

Chapter 36, Problem 14E

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QUESTION:

Problem 14E

Monochromatic light of wavelength λ = 620 nm from a distant source passes through a slit 0.450 mm wide. The diffraction pattern is observed on a screen 3.00 m from the slit. In terms of the intensity I0 at the peak of the central maximum, what is the intensity of the light at the screen the following distances from the center of the central maximum: (a) 1.00 mm; (b) 3.00 mm; (c) 5.00 mm?

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QUESTION:

Problem 14E

Monochromatic light of wavelength λ = 620 nm from a distant source passes through a slit 0.450 mm wide. The diffraction pattern is observed on a screen 3.00 m from the slit. In terms of the intensity I0 at the peak of the central maximum, what is the intensity of the light at the screen the following distances from the center of the central maximum: (a) 1.00 mm; (b) 3.00 mm; (c) 5.00 mm?

ANSWER:

Introduction

We have to calculate the intensity of the light on the screen due to diffraction.

Ste 1

The intensity of the light due to diffraction pattern is given by

Where  is given by

Now for small angle we know that

Hence we have

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