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JEE Main 2019 (9 Apr, Shift 1) · YDSE: Film, Medium & Two Wavelengths

YDSE: Film, Medium & Two Wavelengths question from JEE Main 2019 (9 Apr, Shift 1)

Q59JEE Main 2019 · 9 APR · SHIFT 1Medium

YDSE: Film, Medium & Two Wavelengths

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 μ 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 λ\lambda, t will be:

Figure

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Answer: (d)

  1. Shift of nn fringe widths means extra path =nλ= n\lambda.
  2. (μ−1)t=nλ⇒t=nλμ−1(\mu - 1)t = n\lambda \Rightarrow t = \dfrac{n\lambda}{\mu - 1}
  3. So the answer is (d) nλ(μ−1)\frac{n\lambda}{(\mu - 1)}.
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