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PLEASE HELP!!! two slit interference pattern

Consider a two slit interference pattern, with monochromatic light of wavelength λ.

A.What is the path differenceDelta ellfor the fourth bright fringe above the central bright fringe?

Express your answer in terms of lambda.Δl = ?

B.What is the path difference Delta ell forthe third dark fringe above the central bright fringe?

Express your answer in terms of lambda.Δl = ?
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Answer #1

IN double slit interference pattern

(a) The path difference for the fourth bright firnge

Δφ = (2π/λ) (path difference)

condition for bright fringe

Δφ/2 = mπ

then mπ = (π/λ )(Δl)

therefore the path difference

Δl = 4λ = 4λ

(b) Conditon for bright fringes

Δφ/2 = ( m + 1/2)π

so (2 + 1/2) π =( π/λ)(Δl) [ since m = 0,1,2]

therefore the path difference

Δl = (5/2)λ

answered by: Lorraine
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