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Fringe shift when a thin transparent plate is placed over one slit

This type of question, asked 12 times: 15 May 2023 S2, 12 May 2024 S2, 14 May 2024 S2, 20 Apr 2025 S1, 22 Apr 2025 S2, 13 Apr 2026 S2, 18 Apr 2026 S1, 18 Apr 2026 S2, 13 May 2026 S1, 13 May 2026 S2, 14 May 2026 S1, 15 May 2026 S1. All 13 questions below, oldest first.

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  1. Question 1

    15 May 2023 S2

    27
    A plate of refractive index 1.6 is introduced in the path of light from one of the slits in Young's double slit experiment then

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  2. Question 2

    12 May 2024 S2

    20
    In Young's double slit experiment when a glass plate of refractive index 1.44 is introduced in the path of one of the interfering beams, the fringes are displaced by a distance 'yy'. If this plate is replaced by another plate of same thickness but of refractive index 1.66, the fringes will be displaced by a distance

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  3. Question 3

    12 May 2024 S2

    10
    One of the slits in Young's double slit experiment is covered with a transparent sheet of thickness 2.9×10−32.9 \times 10^{-3} cm. The central fringe shifts to a position originally occupied by the 25th bright fringe. If λ=5800\lambda = 5800 Å, the refractive index of the sheet is

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  4. Question 4

    14 May 2024 S2

    34
    On replacing a thin film of mica of thickness 12×10−5 cm12 \times 10^{-5}\,\text{cm} in the path of one of the interfering beams in Young's double slit experiment, the fringe pattern shifts by one fringe width. If λ=6×10−5 cm\lambda = 6 \times 10^{-5}\,\text{cm}, the refractive index of mica is

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  5. Question 5

    20 Apr 2025 S1

    13
    In Young's double slit experiment, the distance between screen and aperture is 1 m . The slit width is 2 mm. Light of 6000Å6000\text{Å} is used. If a thin glass plate (μ=1.5)(\mu= 1.5) of thickness 0.04 mm is placed over one of the slits, then there will be a lateral displacement of the fringes by

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  6. Question 6

    22 Apr 2025 S2

    39
    A ray of light from a monochromatic point source of light is incident at a point on the screen. If a thin mica film of thickness ' tt ' and refractive index ' nn ' is introduced in its path, then the optical path

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  7. Question 7

    13 Apr 2026 S2

    143
    In Young's double slit experiment, two slits S1S_1 and S2S_2 are 'd' distance apart and the separation from slits to screen is DD. Now if two transparent slabs of equal thickness 0.10.1 mm but refractive index 1.511.51 and 1.551.55 are introduced in the path of beam (λ=4000(\lambda = 4000 A˚)\mathrm{\mathring{A}}) from S1S_1 and S2S_2 respectively. The central bright fringe spot will shift by ___ number of fringes.

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  8. Question 8

    18 Apr 2026 S1

    141
    When a glass plate of refractive index 1.441.44 is introduced in the path of one of the interfering beams, the fringes are displaced by a distance 'yy'. If this plate is replaced by another plate of same thickness but of refractive index 1.661.66, the fringes will be displaced by a distance

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  9. Question 9

    18 Apr 2026 S2

    141
    In a biprism experiment, fifth dark fringe is obtained at a point. A thin transparent film of refractive index 'μ\mu' is placed in one of the interfering paths. Now 7th7^{th} bright fringe is obtained at the same point. If 'λ\lambda' is the wavelength of light used, the thickness of film is equal to

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  10. Question 10

    13 May 2026 S1

    141
    In Young's double slit experiment, the slit width is 11 mm and screen is at a distance 22 m from slits. Light of 600600 nm is used. If a thin glass plate of refractive index 1.51.5 of thickness 0.060.06 mm is placed over one of the slits then there will be a lateral displacement of the fringes by

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  11. Question 11

    13 May 2026 S2

    141
    A double slit experiment is performed with light of wavelength 500500 nm. A thin film of thickness 2 μm2\ \mu\mathrm{m} and refractive index 1.51.5 is introduced in the path of the upper beam. The location of the central maximum

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  12. Question 12

    14 May 2026 S1

    142
    The thickness of a plate (refractive index μ\mu) which will produce a change in optical path equal to half the wavelength λ\lambda of the light passing through it normally, is

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  13. Question 13

    15 May 2026 S1

    141
    In Young's experiment, one of the slit is covered with a transparent sheet of thickness 3.6×10−33.6 \times 10^{-3} cm due to which position of central image shifts to a position originally occupied by 30th30^{th} bright fringe. The refractive index of the sheet is (λ=6000 A˚)(\lambda = 6000\ \mathrm{\mathring{A}})

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