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Critical angle from the speeds or refractive indices of two media

This type of question, asked 6 times: 25 Jun 2022, 29 Jun 2022, 26 Jul 2022, 11 Apr 2023, 8 Apr 2024, 23 Jan 2026 S1. All 6 questions below, oldest first.

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  1. Question 1

    25 Jun 2022

    14
    A light wave travelling linearly in a medium of dielectric constant 4 , incident on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be (Given : relative permeability of medium μr=1\mu_{r}= 1 )

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  2. Question 2

    29 Jun 2022

    94
    The speed of light in media 'A' and 'B' are 2.0×2.0 \times 1010 cm/s10^{10}\text{ }cm/s and 1.5×1010 cm/s1.5 \times10^{10}\text{ }cm/s respectively. A ray of light enters from the medium BB to AA at an incident angle ' θ\theta '. If the ray suffers total internal reflection, then

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  3. Question 3

    26 Jul 2022

    97
    Light travels in two media M1M_{1} and M2M_{2} with speeds 1.5×108 ms−11.5 \times10^{8}{\text{ }ms}^{- 1} and 2.0×108 ms−12.0 \times10^{8}{\text{ }ms}^{- 1} respectively. The critical angle between them is:

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  4. Question 4

    11 Apr 2023

    11
    The critical angle for a denser-rarer interface is 45∘45^{\circ}. The speed of light in rarer medium is 3×108 m s−13 \times10^{8}\ m\,s^{-1}. The speed of light in the denser medium is:

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  5. Question 5

    8 Apr 2024

    19
    Critical angle of incidence for a pair of optical media is 45∘45^{\circ}. The refractive indices of first and second media are in the ratio:

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  6. Question 6

    23 Jan 2026 S1

    11
    Consider light travelling from a medium A to medium B separated by a plane interface. If the light undergoes total internal reflection during its travel from medium A to B and the speed of light in media AA and BB are 2.4×108 m/s2.4 \times10^{8}\text{ }m/s and 2.7×108 m/s2.7 \times10^{8}\text{ }m/s respectively, then the value of critical angle is :

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