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MHT CET 2023 (14 May, Shift 2) · YDSE: Film, Medium & Two Wavelengths

YDSE: Film, Medium & Two Wavelengths question from MHT CET 2023 (14 May, Shift 2)

Q40MHT CET 2023 · 14 MAY · SHIFT 2Medium

YDSE: Film, Medium & Two Wavelengths

On placing a thin film of mica of thickness 12×10−5 cm12 \times 10^{-5}\text{ cm} in the path of one of the interfering beams in Young's double slit experiment using monochromatic light, the fringe pattern shifts through a distance equal to the width of bright fringe. If λ=6×10−5 cm\lambda = 6 \times 10^{-5}\text{ cm}, the refractive index of mica is

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Answer: (c)

  1. Shift of one fringe width: (μ−1)t=λ(\mu-1)t = \lambda.
  2. μ−1=6×10−512×10−5=0.5\mu - 1 = \frac{6\times10^{-5}}{12\times10^{-5}} = 0.5
  3. So μ=1.5\mu = 1.5, answer (c).
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