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  4. If a transparent medium of refractive index μ=1.5 and thickness t=2.5 × 10-5 m is inserted in front of one of the slits of Young's Double Slit experiment, how much will be the shift in the interference pattern? The distance between the slits is 0.5 mm and that between slits and screen is 100 cm

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Q. If a transparent medium of refractive index $\mu=1.5$ and thickness $t=2.5 \times 10^{-5} m$ is inserted in front of one of the slits of Young's Double Slit experiment, how much will be the shift in the interference pattern? The distance between the slits is $0.5\, mm$ and that between slits and screen is $100 \,cm$

Wave Optics

Solution:

Shift in the fringe pattern $x=\frac{(\mu-1) t . D}{d}$
$=\frac{(1.5-1) \times 2.5 \times 10^{-5} \times 100 \times 10^{-2}}{0.5 \times 10^{-3}}=2.5 \,cm$