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Ankita Sehgal
Asked: 2022-11-11T18:00:02+05:30 In:

As shown in Fig. `PQ` is a ray incident on prism `ABC`. Show the corresponding refracted and emergent rays. The critical angle for the material of the prism is `45^@`. What is refractive index of the material of prism ?
image.

As shown in Fig. `PQ` is a ray incident on prism `ABC`. Show the corresponding refracted and emergent rays. The critical angle for the material of the prism is `45^@`. What is refractive index of the material of prism ?
image.
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  1. Correct Answer – `sqrt(2)`
    As `PQ` is normal to `AB`,
    `:. i_1 = 0, r_1 = 0`
    The ray goes straight along `PQR. At R, sqrt(i) = 45^@` which is critical angle of material of the prism.
    Therefore, `QR` suffers total internal reflection at `R` and goes along `RS`
    `mu = (1)/(sin C) = (1)/(sin 45^@) = (1)/(1//sqrt(2)) = sqrt(2)`.

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