Concept:Two coherent sources produce circular interference fringes on the screen.
The path difference is maximum at
O and decreases as we move away from
O, because
D≫d.
Explanation:At point
O, the path difference is
Δx=d.
For maxima:
Δx=mλ.
For minima:
Δx=(2m+1)2λ.
If
d=27λ, then
Δx=27λ=(2×3+1)2λ.
So
O is a minima.
Hence option A is correct.
If
d=λ, then at
O,
Δx=λ=1⋅λ.
So
O is a maxima, not a minima.
As the path difference decreases from
λ to
0, the only maximum on the finite screen is at
O.
Hence option B is correct and option D is incorrect.
If
d=4.8λ, then minima occur for
Δx=2λ, 23λ, 25λ, 27λ, 29λAll these values are less than
4.8λ.
So there are 5 minima on the screen.
Hence option C is correct.
Answer:Correct statements are A, B and C.