Monochromatic light of wavelength 500 nm is used in Young's double slit experiment. An interference pattern is obtained on a screen when one of the slits is covered with a very thin glass plate (refractive index = 1.5). The central maximum is shifted to a

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Solution

Q.
Monochromatic light of wavelength 500 nm is used in Young's double slit experiment. An interference pattern is obtained on a screen when one of the slits is covered with a very thin glass plate (refractive index = 1.5), the central maximum is shifted to a position previously occupied by the 4th bright fringe. The thickness of the glass plate is _____ µm. [2024]

Ans.
(4) When glass plate is inserted, then the extra path difference will be

$(μ - 1) t = n λ$

$(1.5 - 1) t = 4 \times 500 \times 10^{- 9}$

$\Rightarrow t = \frac{4 \times 500 \times 10^{- 9}}{0.5} = 4 \times 10^{- 6} m = 4 μ m$

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