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MHT CET 2025 (26 Apr, Shift 1) · Diffraction at a Single Slit

Diffraction at a Single Slit question from MHT CET 2025 (26 Apr, Shift 1)

Q20MHT CET 2025 · 26 APR · SHIFT 1Medium

Diffraction at a Single Slit

A single slit diffraction pattern is formed with white light. For what wavelength of light the 44th secondary maximum in diffraction pattern coincides with the 33rd secondary maximum in the pattern of light of wavelength ' λ\lambda '?

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Answer: (b)

  1. nnth secondary maximum: asin⁡θ=(2n+1)λ2a\sin\theta = \dfrac{(2n+1)\lambda}{2}
  2. Coincidence: 9λ′2=7λ2\dfrac{9\lambda'}{2} = \dfrac{7\lambda}{2} (4th for λ′\lambda', 3rd for λ\lambda)
  3. So the answer is (b) λ′=7λ9\lambda' = \dfrac{7\lambda}{9}.
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