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Question

The figure shows a Young's double slit experimental setup. It is observed that when a thin transparent sheet of thickness t and refractive index μ is put in front of one of the slits, the central maximum gest shifted by a distance equal to n fringe widths. If the wavelength of light used is $\lambda $, t will be :

${{D\lambda } \over {a\left( {\mu - 1} \right)}}$
${{2nD\lambda } \over {a\left( {\mu - 1} \right)}}$
${{2D\lambda } \over {a\left( {\mu - 1} \right)}}$
${{n\lambda } \over {\left( {\mu - 1} \right)}}$

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