plusminus Fringes from Different Interfering Wavelengths Coherent light with wav

Question

plusminus Fringes from Different Interfering Wavelengths Coherent light with wavelength 608 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 Part A 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 (nor in nanometers).

Explanation / Answer

y = L*/d
0.00484 = 3*608*10^-9/d
d = 0.000376859 m

of first dark fringe at y = 0.00484 m is found by
0.00484 = 1/2*3*/0.000376859
= 1216*10^-9 m
= 1.216*10^-6 m
= 1.216 m

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