A Young's Double Slit Experiment (YDSE) is performed. In the figure, the light is entering from water with refractive index \(\dfrac{4}{3}\). There is a rectangular slab in front of \(S_2\) which is filled with water.

Find the vertical position of central maxima.

**Details and Assumptions:**

Monochromatic light is used.

\(d=0.3 \text{ mm}\)

Thickness of slab \(t=0.41\text{ mm}\).

\(D=1\text{ m}\).

Consider the center of \(S_1\) and \(S_2\) to be the origin and the vertical distance being measured from it.

Use SI units.

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