The diagram illustrates the wavefronts when the distance between the centers of two slits is 3λ. It is a top-view diagram of water waves passing through two identical, very narrow slits.**Diagram Description:**- A barrier with two slits is positioned horizontally, allowing waves to pass through.- The wavefronts are depicted as curved lines expanding outward from the slits.- The region above the barrier shows interference patterns formed by the overlapping waves.- The wavefronts alternate between solid and dashed lines, indicating regions of constructive (solid lines) and destructive (dashed lines) interference.- A horizontal line labeled X-X' is drawn across the top, indicating a line of measurement.**Instructions:**At how many points along the line segment X-X' in the diagram is there complete destructive interference and maximum constructive interference? Mark the approximate locations of all these points on the diagram above, and label each point with the corresponding value of ΔD. Assume that the tank is very wide and that the line X-X' is very far from the slits.

It is the double slit experiment. Let the distance between the silt is d , and the distance between the slit and screen XX' is D thenHence the approximate location is ∆x=yd/D For constructive interface ∆x=yd/D=nλ y=Dnλ/d=∆D............(1) Given d=3λ y=Dn/3=> n=3y/D Here y= ∆D n=(3∆D)/D These are required constructive point. For distractive interference ∆x=yd/D=(2n+1)λ/2 y=D(2n+1)λ/2d........(2) y=D(2n+1)λ/2×3λ=D(2n+1)/6=∆D =>n= [6(∆D)/D-1] These are required number of destructive points.

Answered: X- Barrier with two slits XXXXXXXXXX…