Two parallel slits are illuminated with monochromaticlight of wavelength 500 nm.An interference pattern is formed on ascreen some distance from the slits, and the fourth dark band is located1.68 cm from the central bright band on the screen. (a) Whatis the path length difference corresponding to the fourth darkband? (b) What is the distance on the screen between the centralbright band and the first bright band on either side of the centralband? (Hint: The angle to the fourth dark band and the angle tothe first bright band are small enough that tan u = sin u.)

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 8PQ: Monochromatic light is incident on a pair of slits that are separated by 0.200 mm. The screen is...
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Two parallel slits are illuminated with monochromatic
light of wavelength 500 nm.An interference pattern is formed on a
screen some distance from the slits, and the fourth dark band is located
1.68 cm from the central bright band on the screen. (a) What
is the path length difference corresponding to the fourth dark
band? (b) What is the distance on the screen between the central
bright band and the first bright band on either side of the central
band? (Hint: The angle to the fourth dark band and the angle to
the first bright band are small enough that tan u = sin u.)

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