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A ray PQ is incident normally on the fac...

A ray PQ is incident normally on the face AB of a triangular prism of refracting angle of `60^(@)`, mae of a transparent material of refractive index `( sqrt(3))/( 2) `, as shown in the figure. Trace the path of the ray as it passes through the prism. Also calculate the angle of emergence and angle of deviation.

Text Solution

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If `i_(c)` is the critical angle for the prism `//` material,
`mu = ( 1)/( sini_(c ))`
`:. Sini_(c ) = ( 1)/( mu ) = ( sqrt(3))/( 2)`
`rArr i_(c) = ( 60^(@)`
Angle of incidence at face AC of the prism `= 60^(@)`
Hence, refracted ray grazes the surface AC.
`rArr` Angle of emergence `= 90^(@)`
`rArr ` angle of deviation `= 30^(@)`
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Knowledge Check

  • A ray of light is incident normally on one face of a triangular prism of refracting angle 30^(@) and refractive index 1.5 Find the deviaton of the ray produced.

    A
    `18.6^(@)`
    B
    `12.2^(@)`
    C
    `8.4^(@)`
    D
    `6.3^(@)`

  • A ray of light is incident normally on one of the faces of a prism of angle 30^@ and refractive index sqrt 2 . The angle of deviation of the ray is

    A
    `22.5^(@)`
    B
    `15^(@)`
    C
    `12.5^(@)`
    D
    `0^(@)`

  • A ray of light incident normally on one face of a prism ( mu =2) undergoes grazing emergence . The angle of the prism is

    A
    `50^(@)`
    B
    `45^(@)`
    C
    `30^(@)`
    D
    `60^(@)`

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