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Refractive index calculations

This type of question, asked 4 times: 2023, 2024, 2025, 2026. All 7 questions below, oldest first.

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  1. Question 1

    2023

    25 OR
    (a) A ray of light starting from diamond is incident on the interface separating diamond and water. Draw a labelled ray diagram to show the refraction of light in this case. (b) Absolute refractive indices of diamond and water are 2.42 and 1.33 respectively. Find the value of refractive index of water w.r.t. diamond.

  2. Question 2

    2024

    15
    The speed of light in vacuum is 3×1083 \times 10^8 m/s. If the speed of light in a medium is 2.25×1082.25 \times 10^8 m/s, the absolute refractive index of the medium is :

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  3. Question 3

    2024

    24 (b)
    Define the term absolute refractive index of a medium. A ray of light enters from vacuum to glass of absolute refractive index 1.5. Find the speed of light in glass. The speed of light in vacuum is 3×1083 \times 10^8 m/s.

  4. Question 4

    2025

    11
    If the absolute refractive indices of two media X and Y are 65\dfrac{6}{5} and 43\dfrac{4}{3} respectively, then the refractive index of Y with respect to X will be :

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  5. Question 5

    2025

    24
    The values of absolute refractive indices of kerosene and water are 1.44 and 1.33 respectively. Compare the two media on the basis of their (a) optical density (b) mass density (c) relative speed of propagation of light. What do you infer on the basis of above comparisons ?

  6. Question 6

    2026

    33
    (a) Relate the speed of light in the given medium with its optical density. (b) Using the information given in the table below, arrange the medium A, B and C in the ascending order of their optical density.
    MediumSpeed of light (m/s)
    A2.25×1082.25 \times 10^8
    B2×1082 \times 10^8
    C2.08×1082.08 \times 10^8

  7. Question 7

    2026

    33
    (a) Define absolute refractive index of an optical medium. (b)
    Material MediumRefractive Index
    A1.50
    B1.46
    C1.31
    D1.77
    Arrange these material mediums given in the table in increasing order of speed of light through them.