An interference pattern is produced by light with a wavelength 550 nm from a distant source incident on two identical parallel slits separated by a distance (between centers) of 0.500 mm . a. If the slits are very narrow, what would be the angular position of the second- order, two-slit interference maxima?
b. Let the slits have a width 0.300 mm. In terms of the intensity lo at the center of the central maximum, what is the intensity at the angular position in part "a"?

a

b

Explanation:

From the question we are told that  

   The  wavelength of the light is

    The  distance of the slit separation is  

Generally the condition for two slit interference  is  

Where m is the order which is given from the question as  m = 2

=>    

 substituting values  

Now on the second question  

   The distance of separation of the slit is  

The  intensity at the  the angular position in part "a" is mathematically evaluated as

Where   is mathematically evaluated as

  substituting values

So the intensity is