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MHT CET 2026 (15 May, Shift 1) · YDSE: Fringe Width & Fringe Positions

YDSE: Fringe Width & Fringe Positions question from MHT CET 2026 (15 May, Shift 1)

Q10MHT CET 2026 · 15 MAY · SHIFT 1Medium

YDSE: Fringe Width & Fringe Positions

In double slit experiment, the angular width of the fringes is 0.20∘0.20^\circ for sodium light (λ=5890\lambda = 5890 \AA). To increase the angular width of the fringes by 10%10\%, the necessary change in wavelength is

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Answer: (d)

  1. Angular width θ=λd\theta = \frac{\lambda}{d}, so θ∝λ\theta \propto \lambda for fixed dd.
  2. 10% increase in θ\theta needs 10% increase in λ\lambda: Δλ=0.1×5890=589\Delta\lambda = 0.1\times5890 = 589 Å
  3. So the answer is (d) increase by 589 Å.
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