MHT CET 2022 Physics question

PhysicsWave OpticsMHT CET 2022

On placing a thin film of mica of thickness 12 x 10 cm in the path of one of the interfering waves in Young's double slit experiment using monochromatic light, the fringe pattern shifts through a distance equal to width of a bright fringe. If wavelength used is = 6 x 10 cm, the refractive index of mica is

Answer: (D)

Solution

Inserting a film of thickness and refractive index in one path shifts the pattern by . The fringe width is . The shift equals one fringe width, so , i.e.

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Question ID VK-094375