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A mica strip and a polystyrene strip are fitted on the two slits of a double slit apparatus. The thickness of the strips is 0.50nm and the separation between the slits is 0.12 cm. The refractive index of mica and polystyrene are 1.58 and 1.55 respectively for the light of wavelength 590nm which is used in the experiment. The interference is observed on a screen at a distance one meter away. What would be the fringe-width?

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$2.45 \times 10^{- 4} m$

$4.9 \times 10^{- 4} m$

$9.8 \times 10^{- 4} m$

$10^{- 3} m$

answer is B.

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Detailed Solution

Introduction of the strips do not affect the fridge width

$∴ β = \frac{λ D}{d} = \frac{59 {X10}^{- 8} X1}{12 {X10}^{- 4}} = 4.9 {X10}^{- 4} m$

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