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Minimum deviation through a prism: relate prism angle, refractive index and minimum deviation

This type of question, asked 12 times: 2021 Paper 13, 28 Jun 2022, 15 Apr 2023, 27 Jan 2024, 31 Jan 2024, 6 Apr 2024, 23 Jan 2025, 2 Apr 2025, 28 Jan 2026 S2, 2 Apr 2026 S1, 5 Apr 2026 S1, 6 Apr 2026 S2. All 12 questions below, oldest first.

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  1. Question 1

    2021 Paper 13

    14
    A ray of light is incident on a prism at an angle of incidence 45∘45^{\circ} and ray is undergoing minimum deviation such that the angle of deviation is 30∘30^{\circ}. Find the angle of prism
  2. Question 2

    28 Jun 2022

    12
    The refracting angle of a prism is AA and refractive index of the material of the prism is cot⁡(A/2)\cot(A/2). Then the angle of minimum deviation will be -

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  3. Question 3

    15 Apr 2023

    26
    The refractive index of a transparent liquid filled in an equilateral hollow prism is 2\sqrt{2}. The angle of minimum deviation for the liquid will be ___ ∘^{\circ}.
  4. Question 4

    27 Jan 2024

    3
    If the refractive index of the material of a prism is cot⁡(A2)\cot\left( \frac{A}{2} \right), where AA is the angle of prism then the angle of minimum deviation will be

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  5. Question 5

    31 Jan 2024

    4
    The refractive index of a prism with apex angle A is cot⁡A/2\cot A/2. The angle of minimum deviation is:

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  6. Question 6

    6 Apr 2024

    25
    The refractive index of prism is μ=3\mu=\sqrt{3} and the ratio of the angle of minimum deviation to the angle of prism is one. The value of angle of prism is _______ .
  7. Question 7

    23 Jan 2025

    78
    The refractive index of the material of a glass prism is 3\sqrt{3}. The angle of minimum deviation is equal to the angle of the prism. What is the angle of the prism?

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  8. Question 8

    2 Apr 2025

    98
    A ray of light suffers minimum deviation when incident on a prism having angle of the prism equal to 60∘60^{\circ}. The refractive index of the prism material is 2\sqrt{2}. The angle of incidence (in degrees) is ____\_\_\_\_.
  9. Question 9

    28 Jan 2026 S2

    18
    For a transparent prism, if the angle of minimum deviation is equal to its refracting angle, the refractive index nn of the prism satisfies.

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  10. Question 10

    2 Apr 2026 S1

    15
    For a thin symmetric prism made of glass (refractive index 1.5), the ratio of incident angle and minimum deviation will be ____\_\_\_\_ .

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  11. Question 11

    5 Apr 2026 S1

    15
    A ray of light passing through an equilateral prism is having velocity 2.12×108 m/s2.12 \times10^{8}\text{ }m/s in the prism material, then the minimum angle of deviation is ____\_\_\_\_ degrees.

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  12. Question 12

    6 Apr 2026 S2

    17
    Angle of minimum deviation is equal to the half of the angle of prism in an equilateral prism. The refractive index of the prism is ____\_\_\_\_ .

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