One of the slits in Young's double slit experiment is covered with a transparent sheet of thickness 2.9 × 1 0 − 3 cm . The central fringe shifts to a position originally occupied by the 2 5 th br

Question

One of the slits in Young's double slit experiment is covered with a transparent sheet of thickness 2.9 × 1 0 − 3 cm . The central fringe shifts to a position originally occupied by the 2 5 th bright fringe. If λ = 5800 A ˚ , the refractive index of the sheet is

TestHub · Accepted Answer

As it is given that a transparent sheet of certain thickness is inserted, we use ​ ( μ − 1 ) × t = N λ 25 λ = ( μ − 1 ) t μ − 1 = t 25 λ ​ ​ ∴ The refractive index of the sheet is: ​ μ = 2.9 × 1 0 − 5 25 × 5800 × 1 0 − 10 ​ + 1 μ = 1.50 ​

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