In the Young's double slit experiment, the distance between the slits varies in time as d(t) = d0 + a0 sin$\omega$t; where d0, $\omega$ and a0 are constants. The difference between the largest fringe width and the smallest fringe width obtained over time is given as :

Question

In the Young's double slit experiment, the distance between the slits varies in time as
d(t) = d₀ + a₀ sin$\omega$t; where d₀, $\omega$ and a₀ are constants. The difference between the largest fringe width and the smallest fringe width obtained over time is given as :

${{2\lambda D({d_0})} \over {(d_0^2 - a_0^2)}}$

${{2\lambda D{a_0}} \over {(d_0^2 - a_0^2)}}$

${{\lambda D} \over {d_0^2}}{a_0}$

${{\lambda D} \over {{d_0} + {a_0}}}$

Solution

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