In a Young's double-slit experiment,a transparent plate of thickness $2.5 \times 10^{-5} \, m$ and refractive index $1.5$ is placed in the path of one of the beams. What will be the shift in the fringe pattern (in $, cm$)? The distance between the two slits $S_1$ and $S_2$ is $0.5 \, mm$ and the distance between the slits and the screen is $100 \, cm$.
- A$5$
- B$2.5$
- C$0.25$
- D$0.1$
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