Please mark all point location as described The following diagram shows the wavefronts for the case in which the distance between the centers of the slits is 3).X-Barrierwithtwo slitsDowelpassing through two identical very narrow slitsTop-view diagram of water wavesAt how many points along the line segment X-X' in the diagram above is there complete destructive interference and maximum constructive interference? Mark the approximatelocations of all of these points on the diagram above, and label each point with the corresponding value of AD. Assume that the tank is very wide and that the line X-X' is very farfrom the slits.

Solution: Consider the given interference as shown in figure below: The interference pattern given can be related to the Young's double slit experiment for constructive interference shown by blue lines and destructive interference shown by red color lines.In superposition of waves the crust of one wave is superimposed on the crust of another wave or when trough of one wave is superimposed on the trough of another wave then the interference is called constructive. Now, when the crust of one wave is superimposed on the trough of another wave or vice versa, the interference is called destructive interference. From the figure it is observed that on the X-X' line there are: 5 constructive interference 4 destructive interference Let β be the fringe width then the distance between the slits can be given as: d=3λ where, λ is wavelength of light Then the fringe width can be given as: β=DdλD=βdλD=β3λλ∴D=3β Where, the fringe width is the same for constructive and destructive interference.