Be clear please :) Coherent light with wavelength 603nm passes through two very

Question

Be clear please :)

Coherent light with wavelength 603nm 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 (not in nanometers).

Explanation / Answer

for first order bright fringe ,
y1 = lamda1*D/d

for first order dark fringe ,
y2 = lamda2*D/2*d

here y2 = y1

lamda2*D/(2*d) = lamda1*D/d

lamda2 = lamda1*2
= 2*603*10^-9

= 1.2 micro m

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