Answers

1. Answer:
   

   λ = 428.6 nm
   

   Explanation:

   Hello,

   In this case, we must remember that the Young’s double slit experiment is described by the expression
   :

   d sin θ = m λ

   For constructive interference
   , and:

   d sin θ = (m + ½) λ          

   For destructive interference
   , whereas d accounts for the distance between the slits, λ for the wavelength and m for an integer that describes the order of interference
   . Thus, for the given angle 30º, the distance between the slits is 3.00 μm or 3.00 10⁻⁶ m and the order of interference is 3; we therefore use the destructive interference equation  to compute the wavelength as shown below:

   λ = 3×10⁻⁶ sin (30) / (3 +1/2)
   

   λ = 4.286 10⁻⁷ m
   

   Or in manometers:

   λ = 428.6 nm

   Best regards.

   Reply