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A ray of light travelling in air is inci...

A ray of light travelling in air is incident at angle of incidence `I~~90^(@)` on a long rectangular slab of a transparent medium of thickness `y_(0)`. The medium has a variable refractive index of `mu(x)=sqrt(1+ke^(2x//a),xge0` wher a is a positive constant

A

In the above situation if `y_0` = a/2, the co-ordinates of the point where the ray intersects the upper surface of the slab-air boundary are `[aln2, a/2]`

B

In the above situation if `y_0` = a/2, the co-ordinates of the point where the ray intersects the upper surface of the slab-air boundary are `[a/2 ln2, a/2]`

C

the angle made by light ray with +ve x-axis, at the upper surface of slab air boundary, inside the medium is `pi//3`

D

the angle made by light ray with +ve x-axis, at the upper surface of slab air boundary, inside the medium is `tan^(-1) (1/2)`

Text Solution

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The correct Answer is:
A, D
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Knowledge Check

  • A ray of light strikes a transparent rectangular slab of refractive index sqrt(2) at an angle of incidence of 45^(@) . The angle betweent the reflected and refracted rays is

    A
    `75^(@)`
    B
    `90^(@)`
    C
    `105^(@)`
    D
    `120^(@)`