Question

Derive an expression for the displacement of the nth bright fringe in Young’s double-slit experiment when a thin transparent plate of refractive index µ and thickness t is introduced in the path of one of the constituent interfering beams of light. Will there be any change in the fringe-width after the introduction of the plate?

10 Apr 2022
Answer :
Word Count : 487

In Young's double-slit experiment, light waves from a single source pass through two closely spaced slits and interfere on a screen, creating a pattern of bright and dark fringes. When a thin transparent plate of refractive index \( \mu \) and thickness \( t \) is introduced in the path of one of the interfering beams, the optical path length of that beam is altered, resulting in a shift in the position of the fringes.

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Derive an expression for the displacement of the nth bright fringe in Young’s double-slit experiment when a thin transparent plate of refractive index µ and thickness t is introduced in the path of one of the constituent interfering beams of light. Will there be any change in the fringe-width after the introduction of the plate?

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