When light with wavelength 620 x 10-9 m is diffracted through a single slit, the angle of the second dark fringe is 21 degrees. Calculate the width of the slit. (Give your answer in meters but don't include the units.)

When light with wavelength 620 x 10-9 m is diffracted through a single slit, the angle of the second dark fringe is 21 degrees. Calculate the width of the slit. (Give your answer in meters but don't include the units.)

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 56PQ

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Concept explainers

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.

Question

When light with wavelength 620 x 10^-9 m is diffracted through a single slit, the angle of the second dark fringe is 21 degrees. Calculate the width of the slit.
(Give your answer in meters but don't include the units.)

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