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JEE Mains · Physics · STD 12 - Wave optics
  • JEE Mains 2019
  • Medium
  • MCQ

The figure shows a Young’s double slit experimental setup. It is observed that when a thin transparent sheet of thickness \(t\) and refractive index \(\mu \) is put in front of one of the slits, the central maximum gets shifted by a distance equal to \(n\) fringe widths. If the wavelength of light used is \(\lambda ,\,t\) will be

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Correct Answer

(D) \(\frac{{n\lambda }}{{\left( {\mu  - 1} \right)}}\)

Step-by-step Solution

Detailed explanation

Path difference at central maxima \(\Delta x=(\mu-1)\, t,\) whole pattern will shift by same amount which will be given by

\((\mu-1) \,t \frac{D}{d}=n \frac{\lambda D}{d},\) according to eh question \(t=\frac{n \lambda}{(\mu-1)}\)

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