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An isosceles triangular glass prism stan...

An isosceles triangular glass prism stands with its base in water as shown. The angles that its two equal sides make with the base are `theta` each. An incident ray of light parallel to the water surface internally reflects at the glass-water interface and subsequently re-emerges into the air. Taking the refractive indices of glass and water to be 3/2 and 4/3 respectively, show that  must be at least `tan^(-1) 2/sqrt(17)` or `25.9^(@)`.

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If the absolute refractive indices of glass and water are 3/2 and 4/3 respectively, what is the refractive index of glass with respect to water?

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Knowledge Check

  • The refractive indices of glass and water are 3/2 and 4/3 respectively. The refractive index of glass with respect to water is

    A
    2
    B
    `8/9`
    C
    `9/8`
    D
    `5/3`

  • The refractive indices of glass and water with respect to air are 3/2 and 4/3 respectively. The refractive index of glass w.r.t. water will be

    A
    `8/9`
    B
    `9/8`
    C
    `7/6`
    D
    None of these

  • A light wave travels from glass to water. The refractive index for glass and water are 3/2 and 4/3 respectively. The value of the critical angle will be:

    A
    `sin^(-1)(1/2)`
    B
    `sin^(-1)(9/8)`
    C
    `sin^(-1)(8/9)`
    D
    `sin^(-1)(5/7)`

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