ight with wavelength λ passes through a narrow slit of the width w and is seen on a screen which is located at a distance D in front of the slit. The first minimum of the diffraction pattern is at distance d from the middle of the central maximum. Show that λ, w, D and d are related by the expression dw = λD. Calculate D for λ = 421 nm, d = 0.2 cm and w =

ight with wavelength λ passes through a narrow slit of the width w and is seen on a screen which is located at a distance D in front of the slit. The first minimum of the diffraction pattern is at distance d from the middle of the central maximum. Show that λ, w, D and d are related by the expression dw = λD. Calculate D for λ = 421 nm, d = 0.2 cm and w =

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter35: Diffraction And Interference

Section: Chapter Questions

Problem 45PQ

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Concept explainers

Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will produce fringes of bright and dark or colored bands which are labeled as a diffraction pattern.

Question

Light with wavelength λ passes through a narrow slit of the width w and is seen on a screen which is located at a distance D in front of the slit. The first minimum of the diffraction pattern is at distance d from the middle of the central maximum. Show that λ, w, D and d are related by the expression dw = λD. Calculate D for λ = 421 nm, d = 0.2 cm and w = 0.8 mm.

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