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A ray of light is incident on the hypote...

A ray of light is incident on the hypotenuse of a right-angled prism after travelling parallel to the base inside the prism. If `mu` is the refractive index of the material of the prism, the maximum value of the base angle for which light is totally reflected from the hypotenuse is

A

`sin^(-1) ((I)/(mu))`

B

`tan^(-1) ((1)/(mu))`

C

`sin^(-1) ((mu-1)/(mu))`

D

`cos^(-1)((1)/(mu))`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • A ray of light is incident normally on one face of a right-angled isosceles prism and then it grazes the hypotenuse. The refractive index of the material of the prism is

    A
    1.33
    B
    1.414
    C
    1.5
    D
    1.732

  • A trihedral prism with refracting angle 60^(@) deviates a light ray by 30^(@) . The refractive index of the material of prism

    A
    may be equal to `sqrt(2)`
    B
    can not be greater than `sqrt(2)`
    C
    can not be less than `sqrt(2)`
    D
    none of these

  • A ray of light incident normally on an isosceles right angled prism travels as shown in the figure. The least value of the refractive index of the prism must be

    A
    `sqrt(2)`
    B
    `sqrt(3)`
    C
    `1.5`
    D
    `2.0`