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 :

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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