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JEE PHYSICS MCQ: WAVE OPTICS

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In young’s double slit experiment, 5th dark fringe is obtained at a point. If a thin transparent film is placed in the path of one of waves, then 7th bright fringe is obtained at the same point. The thickness of the film in terms of wavelength λ\lambda and refractive index μ\mu will be
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Correct option: D
2.5λ(μ−1)\frac{{2.5\lambda }}{{\left( {\mu - 1} \right)}}
Option D (2.5λ(μ−1)\frac{{2.5\lambda }}{{{{\left( {\mu - 1} \right)}}}}) is correct because it is derived from equating the path difference due to the film with the change in fringe position.

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