First slide

In YDSE one of the slits is covered with a thin transparent sheet

Question

In young's double slit experiment, when one of the slits is covered with a thin transparent sheet of thickness t and refractive index 1.6. The central bright fringe is shifted by a distance d/4. When the other slit is also covered by a thin transparent sheet of thickness 2t and refractive index $μ$ , the central bright fringe is again sifted to its original position. Then find the value of $μ$ .

Easy

A

1.3
B

1.4
C

1.5
D

1.7

Solution

Net path difference must be zero at the position of central bright fringe
$\begin{array}{l} ∴ (μ_{2} - 1) t_{2} = (μ_{1} - 1) t_{1} \\ \Rightarrow (μ_{2} - 1) \times 2 t = (1.6 - 1) \times t \Rightarrow μ_{2} = 1.3 \end{array}$

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