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MHT CET 2026 (13 Apr, Shift 2) · YDSE: Film, Medium & Two Wavelengths

YDSE: Film, Medium & Two Wavelengths question from MHT CET 2026 (13 Apr, Shift 2)

Q12MHT CET 2026 · 13 APR · SHIFT 2Medium

YDSE: Film, Medium & Two Wavelengths

In Young's double slit experiment, two slits S1S_1 and S2S_2 are 'd' distance apart and the separation from slits to screen is DD. Now if two transparent slabs of equal thickness 0.10.1 mm but refractive index 1.511.51 and 1.551.55 are introduced in the path of beam (λ=4000\lambda = 4000 Å) from S1S_1 and S2S_2 respectively. The central bright fringe spot will shift by ___ number of fringes.

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Answer: (b)

  1. Net extra optical path =(μ2−μ1)t=(1.55−1.51)×0.1×10−3=4×10−6= (\mu_2-\mu_1)t = (1.55-1.51)\times0.1\times10^{-3} = 4\times10^{-6} m.
  2. Fringes shifted n=4×10−64000×10−10=10n = \frac{4\times10^{-6}}{4000\times10^{-10}} = 10
  3. So the answer is (b) 10.
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