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Refractive index from the angles of incidence, refraction or deviation

This type of question, asked 2 times: 27 Jun 2022, 29 Jul 2022. All 2 questions below, oldest first.

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  1. Question 1

    27 Jun 2022

    17
    Consider a light ray travelling in air is incident into a medium of refractive index 2n\sqrt{2n}. The incident angle is twice that of refracting angle. Then, the angle of incidence will be:

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  2. Question 2

    29 Jul 2022

    110
    Light enters from air into a given medium at an angle of 45∘45^{\circ} with interface of the air-medium surface. After refraction, the light ray is deviated through an angle of 15∘15^{\circ} from its original direction. The refractive index of the medium is:

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