In the Young's double slit experiment, the distance between the slits varies in time as d t = d 0 + a 0 sin ω t ; where d 0 , ω and a 0 are constants. The difference between the largest fringe wi

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In the Young's double slit experiment, the distance between the slits varies in time as d t = d 0 + a 0 sin ω t ; where d 0 , ω and a 0 are constants. The difference between the largest fringe width and the smallest fringe width obtained over time is given as:

TestHub · Accepted Answer

Fringe width, β = λ D d β max ⇒ d min and β min ⇒ d max d = d 0 + a 0 sin ω t d max = d 0 + a 0 and d min = d 0 - a 0 ∴ β min = λ D d 0 + a 0 and ∴ β max = λ D d 0 - a 0 β max - β min = λ D d 0 - a 0 - λ D d 0 + a 0 = 2 λ D a 0 d 0 2 - a 0 2

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