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A ray incident at a point at an angle of...

A ray incident at a point at an angle of incidence of `60^(@)` enters a glass sphere with refractive index `sqrt(3)` and it is reflected and refracted at the farther surface of the sphere. The angle between the reflected and refracted rays at this surface is:

A

`90^@`

B

`60^@`

C

`70^@`

D

`40^@`

Text Solution

Verified by Experts

The correct Answer is:
A
`sinr=(sini)/mu=(sin60^@)/sqrt(3)=1/2`
`:.r=30^@`
Angle between reflected ray QR and refracted ray QS at the other face =`180^@ -r -60^@`
`180^@ - 30^@ - 60^@=90^@`
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Knowledge Check

  • A ray incident at an angle of incidence 60^(@) enters a glass sphere of mu=sqrt(3) and it is reflected and refracted at the farther surface of the sphere. The angle between reflacted and refracted rays at this surface is

    A
    `120^(@)`
    B
    `90^(@)`
    C
    `60^(@)`
    D
    `150^(@)`

  • A ray R_(1) is incident on the plane surface of the glass slab (kept in air) of refractive index sqrt(2) at angle of incident equal to the critical angle for this air glass system. The refracted ray R_(2) undergoes partial reflection & refraction at the other surface. The angle between the reflected ray R_(3) and the refracted ray R_(4) at that surface is :

    A
    `45^(@)`
    B
    `135^(@)`
    C
    `105^(@)`
    D
    `75^(@)`

  • The angle between incident ray and reflected ray or refracted ray is called _____

    A
    respective angle of deviation
    B
    angle of minimum deviation
    C
    glancing angle
    D
    emergence angle

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