Two slits 0.075mm apart are located 2.5m from a screen. Laser light shining through the slits produces an interference pattern whose third order bright fringe is 3.8 cm from the screen center. Find the light's wavelength.

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Two slits 0.075mm apart are located 2.5m from a screen. Laser light shining through the slits produces an interference
pattern whose third order bright fringe is 3.8 cm from the screen center. Find the light's wavelength.
Transcribed Image Text:Two slits 0.075mm apart are located 2.5m from a screen. Laser light shining through the slits produces an interference pattern whose third order bright fringe is 3.8 cm from the screen center. Find the light's wavelength.
Expert Solution
Concept and Principle:
  • The double-slit experiment is used to study and demonstrate the dual nature of light and matter.

 

  • For this two slits located close to each other are used and the interference pattern formed is studied. It forms alternating bright and dark fringes along with a central maximum.

 

  • The distance to a bright fringe from the central maximum caused by constructive interference is given by,

ybright=mλLd

Here m is the order of the maxima, λ is the wavelength of the source, L is the distance from the slit to the screen's center point, and d is the slit spacing.

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