Question 138: Wave Optics

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 :
![](https://imagex.cdn.examgoal.net/18hoxe66ijwhsv2v8/22a26bde-7ae7-418d-a6ea-5c862bcd9346/29c1a040-86c7-11e9-8081-1d558b7f1d26/file-18hoxe66ijwhsv2v9.png)

Accepted Answer

Path difference at central maxima $\Delta $x = ($\mu $ Ã¢ÂÂ 1)t, whole pattern will shift by same amount which will be given by
$\left( {\mu  - 1} \right)t{D \over d} = n{{\lambda D} \over d};$ according to the question $t = {{n\lambda } \over {\left( {\mu  - 1} \right)}}$

Answer

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

Answer

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

Answer

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

Answer

${{n\lambda } \over {\left( {\mu  - 1} \right)}}$

Wave Optics

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