Question

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help me understanding this question with detailed ans please ❗❗☺☺​

Answer 1

Let us assume phase difference to be Δ∅ and path difference to be Δx.

Relation: Phase difference ∝ Path difference

For a given wave form,

Phase difference=constant(Path difference)

=>Δ∅=constant(Δx)

Here,

the constant is nothing but wave number ,

i.e.,constant=k=2π/ λ(where λ=wavelength)

=>Δ∅=k(Δx)

=>Δ∅=2π*(Δx)/λ

Considering the difference to be small;

∅=2π*(x)/λ

Thus, path difference is:x=∅*λ/2π(option c)

Answer 2

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