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A ray of light incident at an angle thet...

A ray of light incident at an angle `theta` on a refracting face of a prism emerges from the other face normally. If the angle of the prism is `5^@` and the prism is made of a material of refractive index `1.5`, the angle of incidence is.

A

`7.5^(@)`

B

`5^(@)`

C

`15^(@)`

D

`2.5^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
According to the qustion, ray emerges from other surface of prism normally,
`:.` Angle of incidence at second face,
`r' = 0^(@)`
Now, `r + r' = A`
`rArr r = A - r' = 5^(@) - 0^(@) = 5^(@)`
Using snell's law
`mu = (sini)/(sinr)`
or `sini = mu sin r = 1.5 xx sin 5^(@) = 0.1331`
`rArr theta = i = sin^(-1) (0.131) = 7.5^(@)`
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Knowledge Check

  • A ray of light incident at an angle theta on a refracting face of a prism emerges from the other face normally. If the angle of prism is 5^(@) and the prism is made of a material of refractive index 1.5, the angle of incidence is

    A
    `7.5^(@)`
    B
    `5^(@)`
    C
    `15^(@)`
    D
    `2.5^(@)`

  • A ray of light is incident normally on one face of a prism as shown in figure. The refractive index of the material of the prism is (5)/(3) and the prism is immersed in water of refractive index (4)/(3) , then

    A
    The angle of emergence `theta_(2)` of the ray is `sin^(-2)((5)/(8))`
    B
    The angle of emergence `theta_(2)` of the ray is `sin^(-1)((5)/(4sqrt(3)))`
    C
    The angle of emerrgence `theta_(2)` of the ray is `sin^(-1)((7)/(3sqrt(4)))`
    D
    Total internal reflection will not occur at P if the refractive index of water increases to a value greater than `(5)/(2sqrt(3))` by dissolving some substance.

  • A ray of light is incident at an angle of 60^(@) on one face of a prism of angle 30^(@) . They ray emerges normally from the other face of the prism. The refractive index of the prism material is

    A
    `sqrt2`
    B
    `sqrt3`
    C
    2
    D
    3

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