A double slit apparatus is fitted with a mica strip and a polystyrene strip on its two slits. The thickness of the strips is 0.50 mm , while the separation between the slits is 0.12 cm . The refractive indices of mica and polystyrene are 1.58 and 1.55 respectively for the light of wavelength 590 nm used in the setup. The interference pattern is observed on a screen positioned one meter away. Determine the fringe-widt

Step-by-step solution

The fringe-width in a Young's double slit experiment is independent of the transparent strips placed in front of the slits. The strips only introduce a constant path difference which causes a shift in the entire interference pattern, but the distance between consecutive fringes remains unchanged. The formula for fringe-width is given by: = D d Given values are: Wavelength of light, = 590 nm = 590 10⁻⁹ m Distance of the screen, D = 1 m Separation between the slits, d = 0.12 cm = 1.2 10⁻³ m Substituting these values