Coherent light with wavelength 601 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 thefirst-order dark fringe be observed at this same point on the screen?

The wavelength is  

Explanation:

From the question we are told that

    The wavelength of the light is  

     The  distance of the screen is  D  =  3.0  m

     The  fringe width is  

Generally the fringe width for a bright fringe  is mathematically represented as

=>    

=>    

=>    

Generally the fringe width for a dark fringe  is mathematically represented as

Here  m = 0  for  first order dark fringe

   So  

looking at which we see that  

=>    

=>    

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causes

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