Fringes from Different Interfering Wavelengths 10 of 10 Constants Part A Coheren

Question

Fringes from Different Interfering Wavelengths 10 of 10 Constants Part A Coherent light with wavelength 600 nm passes through two very narrow slits, and the interference pattern is observed on a screen a distance of 3.00 m from the slits. The first-order bright fringe is a distance of 4.84 mm from the center of the central bright fringe For what wavelength of light will the first-order dark fringe (the first dark fringe next to a central maximum) be observed at this same point on the screen? Express your answer in micrometers (not in nanometers) View Available Hint(s) Submit Return to Assignment Provide Feedback

Explanation / Answer

for bright fringe,

y = m * lambda * D / a

4.84 mm = (600nm) D / a  

4.84a/D = (600 nm)

and for dark fringe.

y1 = (m - 0.5)(lambda') D / a

lambda' = (2)(4.84 a / D) = (2)(600)

= 1200 nm

= 1.2 x 10^-6 m

= 1.2 um

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