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In the Young's double slit experiment, the distance between the slits varies in time as \(d(t)=d_0+a_0 \sin \omega t\); …

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In the Young's double slit experiment, the distance between the slits varies in time as \(d(t)=d_0+a_0 \sin \omega t\); where \(d_0, \omega\) and \(a_0\) are constants. The difference between the largest fringe width and the smallest fringe width obtained over time is given as:

a

\(\frac{\lambda D}{d_0+a_0}\)

b

\(\frac{\lambda D}{d_0^2} a_0\)

c

\(\frac{2 \lambda D a_0}{\left(d_0^2-a_0^2\right)}\)

d

\(\frac{2 \lambda D\left(d_0\right)}{\left(d_0^2-a_0^2\right)}\)

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