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Position of a bright fringe of given order for two wavelengths

This type of question, asked 7 times: 10 May 2023 S1, 11 May 2024 S2, 14 May 2024 S1, 22 Apr 2025 S1, 26 Apr 2025 S1, 16 Apr 2026 S1, 20 Apr 2026 S1. All 7 questions below, oldest first.

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  1. Question 1

    10 May 2023 S1

    34
    In Young's double slit experiment, the nthn^\text{th} maximum of wavelength λ1\lambda_1 is at a distance of y1y_1 from the central maximum. When the wavelength of the source is changed to λ2\lambda_2, n3th\frac{n}{3}^\text{th} maximum is at a distance of y2y_2 from its central maximum. The ratio y1y2\frac{y_1}{y_2} is

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  2. Question 2

    11 May 2024 S2

    36
    In Young's double slit experiment, the fifth maximum with wavelength 'λ1\lambda_1' is at a distance 'y1y_1' and the same maximum with wavelength 'λ2\lambda_2' is at a distance 'y2y_2' measured from the central bright band. Then y1y2\frac{y_1}{y_2} is equal to [DD and dd are constant]

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  3. Question 3

    14 May 2024 S1

    43
    In Young's double slit experiment, 8th maximum with wavelength 'λ1\lambda_1' is at a distance 'd1d_1' from the central maximum and 6th maximum with wavelength 'λ\lambda' is at a distance 'd2d_2'. Then d2d1\dfrac{d_2}{d_1} is

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  4. Question 4

    22 Apr 2025 S1

    3
    In a Young's double slit experiment wavelength of light used is 6000Å6000\text{Å}. The first order maxima and tenth order maxima fall at 14.50 mm and 16.75 mm from the particular reference point in the interference pattern respectively. If the wavelength is changed to 5500Å5500\text{Å} then the position of zero order and tenth order maxima are respectively [The other arrangements remaining same]

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  5. Question 5

    26 Apr 2025 S1

    36
    In Young's double slit experiment, the distance between the slits is 2 mm and the slits are 1 m away, from the screen. Two interference patterns can be obtained on the screen due to light of wavelength ' λ1\lambda_{1} ' and ' λ2\lambda_{2} ' respectively. The separation on the screen between the 3rd 3^{\text{rd~}} order bright fringes on the two interference patterns is (λ2=1.5λ1\lambda_{2}= 1.5\lambda_{1})

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  6. Question 6

    16 Apr 2026 S1

    143
    In Young's double slit experiment, the distance between the slits is 3 mm and the slits are 2m away from the screen. Two interference patterns can be obtained on the screen due to light of wavelength 480 nm and 600 nm respectively. The separation on the screen between the 5th5^{th} order bright fringes on two interference patterns is

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  7. Question 7

    20 Apr 2026 S1

    143
    In a biprism experiment, the distance between 4th4^{th} and 13th13^{th} bright band on the same side is 'yy' when light of wavelength 6000 A˚6000\ \mathrm{\mathring{A}} is used. For a light of wavelength 'λ\lambda' the distance between 6th6^{th} and 16th16^{th} bright band on the same side is again 'yy'. The value of 'λ\lambda' in A˚\mathrm{\mathring{A}} units is

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