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MHT CET 2023 (14 May, Shift 1) · YDSE: Fringe Width & Fringe Positions

YDSE: Fringe Width & Fringe Positions question from MHT CET 2023 (14 May, Shift 1)

Q32MHT CET 2023 · 14 MAY · SHIFT 1Easy

YDSE: Fringe Width & Fringe Positions

In Young's double slit experiment, 88th maximum with wavelength 'λ1\lambda_1' is at a distance 'd1d_1 ' from the central maximum and 66th maximum with wavelength 'λ2\lambda_2' is at a distance 'd2d_2'. Then d2d1\frac{d_2}{d_1} is

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Answer: (b)

  1. y=nλDdy = \frac{n\lambda D}{d}
  2. d1=8λ1Ddd_1 = \frac{8\lambda_1D}{d}, d2=6λ2Ddd_2 = \frac{6\lambda_2D}{d}
  3. d2d1=6λ28λ1=3λ24λ1\frac{d_2}{d_1} = \frac{6\lambda_2}{8\lambda_1} = \frac{3\lambda_2}{4\lambda_1}, so the answer is (b).
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