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Wavelength used when the angular width of the single slit central maximum decreases by a given percent

The same question, asked 3 times: May 2021 S1*, 16 May 2023 S1*, 18 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    May 2021 S1

    23
    The angular separation of the central maximum in the Fraunhofer diffraction pattern is measured; the slit is illuminated by light of wavelength 6000 Å. If the slit is illuminated by light of another wavelength, the angular separation decreases by 30%. The wavelength of light used is

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  2. Question 2

    16 May 2023 S1

    18
    The angular separation of the central maximum in the Fraunhofer diffraction pattern is measured. The slit is illuminated by the light of wavelength 6000 A˚6000\,\text{\AA}. If the slit is illuminated by light of another wavelength, the angular separation decreases by 20%20\%. The wavelength of light used is

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  3. Question 3

    18 Apr 2026 S1

    143
    In a Fraunhofer diffraction of a single slit, when a slit is illuminated by a light of wavelength 6480 A˚6480\ \mathrm{\mathring{A}}, angular width of central maximum is measured. When the slit is illuminated by light of another wavelength 'λ\lambda' the angular width decreases by 25%25\%. The value of λ\lambda in A˚\mathrm{\mathring{A}} units is

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