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MHT CET 2023 (12 May, Shift 2) · YDSE: Film, Medium & Two Wavelengths

YDSE: Film, Medium & Two Wavelengths question from MHT CET 2023 (12 May, Shift 2)

Q42MHT CET 2023 · 12 MAY · SHIFT 2Medium

YDSE: Film, Medium & Two Wavelengths

One of the slits in Young's double slit experiment is covered with a transparent sheet of thickness 2.9×10−3 cm2.9 \times 10^{-3}\text{ cm}. The central fringe shifts to a position originally occupied by the 2525th bright fringe. If λ=5800 A˚\lambda = 5800\ \text{\AA}, the refractive index of the sheet is

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Answer: (d)

  1. Shift by nn fringes: (μ−1)t=nλ(\mu-1)t = n\lambda.
  2. μ−1=25×5800×10−102.9×10−5=1.45×10−52.9×10−5=0.5\mu - 1 = \frac{25\times5800\times10^{-10}}{2.9\times10^{-5}} = \frac{1.45\times10^{-5}}{2.9\times10^{-5}} = 0.5
  3. So μ=1.50\mu = 1.50, answer (d).
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