First slide

Young's double slit Experiment

Question

In young's double slit experiment with slits of equal width, the slits are covered with sheets of transparent material having thickness 1 mm and refractive index 1.6 and thickness ‘t’ and refractive index 1.4. If the central bright fringe is formed at the position where it was previously formed when the slits were un covered, find ‘t’.

Moderate

A

1.75 mm
B

1.2 mm
C

1.5 mm
D

0.8 mm

Solution

When the slits are covered, the net path difference between waves at the position of central bright fringe $= t_{1} (μ_{1} - 1) ~ t_{2} (μ_{2} - 1)$
$∴ t_{1} (μ_{1} - 1) ~ t_{2} (μ_{2} - 1) = 0$
$\Rightarrow t_{2} = \frac{t_{1} (μ_{1} - 1)}{(μ_{2} - 1)} = \frac{f \times (1 .6 - 1)}{(1 .4 - 1)} mm = 1 .5 mm$

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