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Q. Refractive index of air is 1.003. The correct thickness of air column which will have one or more wavelength of yellow light $ (6000\overset{\text{o}}{\mathop{\text{A}}}\,) $ than in the same thickness in vacuum is:

Rajasthan PMTRajasthan PMT 1995

Solution:

For vacuum $ t=n\lambda , $ For air $ t=(n+1)\lambda $ $ \therefore $ $ t=\frac{\lambda }{n-1}=\frac{6\times {{10}^{-7}}}{0.0003}=2mm $