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MHT CET 2023 (10 May, Shift 2) · YDSE: Film, Medium & Two Wavelengths

YDSE: Film, Medium & Two Wavelengths question from MHT CET 2023 (10 May, Shift 2)

Q46MHT CET 2023 · 10 MAY · SHIFT 2Medium

YDSE: Film, Medium & Two Wavelengths

In Young's double slit experiment, the two slits are 'd' distance apart. Interference pattern is observed on a screen at a distance 'D' from the slits. A dark fringe is observed on a screen directly opposite to one of the slits. The wavelength of light is

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Answer: (d)

  1. Path difference in front of a slit =d22D= \dfrac{d^2}{2D}.
  2. Nearest (first) dark fringe: d22D=λ2⇒λ=d2D\dfrac{d^2}{2D} = \dfrac{\lambda}{2} \Rightarrow \lambda = \dfrac{d^2}{D}
  3. So the answer is (d) d2D\frac{d^2}{D}.
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