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MHT CET 2024 (10 May, Shift 2) · YDSE: Fringe Width & Fringe Positions

YDSE: Fringe Width & Fringe Positions question from MHT CET 2024 (10 May, Shift 2)

Q27MHT CET 2024 · 10 MAY · SHIFT 2Medium

YDSE: Fringe Width & Fringe Positions

In Young's double slit experiment, the slits are separated by 0.6 mm and screen is placed at a distance of 1.2 m from slit. It is observed that the tenth bright fringe is at a distance of 8.85 mm from the third dark fringe on the same side. The wavelength of light used is

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Answer: (c)

  1. 10th bright at 10β10\beta, 3rd dark at 2.5β2.5\beta: 7.5β=8.857.5\beta = 8.85 mm, so β=1.18\beta = 1.18 mm
  2. λ=βdD=1.18×10−3×0.6×10−31.2=5.9×10−7 m\lambda = \frac{\beta d}{D} = \frac{1.18\times10^{-3} \times 0.6\times10^{-3}}{1.2} = 5.9\times10^{-7}\text{ m}
  3. So the answer is (c) 59005900 Å.
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