In a double slit experiment, the distance between the slits is $0.1 \ cm$ and the screen is placed at $50 \ cm$ from the slits plane. When one slit is covered with a transparent sheet having thickness $t$ and refractive index $n = 1.5$, the central fringe shifts by $0.2 \ cm$. The value of $t$ is . . . . . . $cm$.
- A$8 \times 10^{-4}$
- B$6.0 \times 10^{-3}$
- C$5.6 \times 10^{-4}$
- D$5.0 \times 10^{-3}$
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