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A ray of light incident on a slab of tra...

A ray of light incident on a slab of transparent material is partly reflected from the surface and partly refracted into the slab. The reflected and refracted rays are mutually perpendicular. The incident ray makes an angle `i` with the normal to the slab. the refreactive index of the slab is

A

`tan^(-1)(i)`

B

`cot^(-1)(i)`

C

`sin^(-1)(i)`

D

`cos^(-1)(i)`

Text Solution

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • When light rays are incident on a thick transparent slab then these rays are partly reflected and partly refracted into the slab. At a certain angle of incidence theta , it is found that reflected and refracted rays are mutually perpendicular. What is refractive index of material ?

    A
    `sin theta`
    B
    `cos theta`
    C
    `tan theta`
    D
    `cot theta`

  • A ray of light falls on a transparent glass slab of refractive index sqrt (2) . If the reflected and refracted rays are mutually perpendicular, then the angle of incidence is

    A
    `tan^-1(sqrt(3/2))`
    B
    `sin^(-1)(sqrt(2/3))`
    C
    `tan^-1(sqrt(2))`
    D
    `sin^(-1)(sqrt(3))`

  • A ray of light falls on a transparent glass slab of refractive index 1.62. If the reflected ray and the refracted ray are mutually perpendicular, the angle of incidence is

    A
    `tan^(-1) (1.62)`
    B
    `tan^(-1) 1/(1.62)`
    C
    `tan^(-1) (1.33)`
    D
    `tan^(-1) 1/(1.33)`

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    A ray of light is incident on the surface of a glass plate of reflective index 1.536 such that the reflected and refracted rays are mutually perpendicular. What is the angle of reflection ?

    A ray of light falls on a transparent glass slab of refractive index 1.62. If the reflected ray and the refracted ray are mutually perpendicular, the angle of incidence is

    A ray of light falls on a transparent slab of mu = 1.0 . If reflected and refracted rays are mutually perpendicular, what is the angle of incidence ?

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