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AP EAMCET · PHYSICS · Wave Optics

Young's double slit experiment is conducted with monochromatic light of wavelength \(5000 Å\), with slit separation of \(3 \mathrm{~mm}\) and observer at \(20 \mathrm{~cm}\) away from the slits. If a \(1 \mathrm{~mm}\) transparent plate is placed infront of one of the slits, the fringes shift by \(6 \mathrm{~mm}\). The refractive index of the transparent plate is

  1. A \(1.08\)
  2. B \(1.09\)
  3. C \(1.1\)
  4. D \(1.2\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1.09\)

Step-by-step Solution

Detailed explanation

Given, wavelength, \(\lambda=5000 Å=5 \times 10^{-7} \mathrm{~m}\) Slit separation, \(d=3 \mathrm{~mm}=3 \times 10^{-3} \mathrm{~m}\) Distance between slit and screen, \(D=20 \mathrm{~cm}=0.2 \mathrm{~m}\) Thickness of transparent plate…
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