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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:
1
Since, deviation `delta = (mu - 1)A`
= (1.5-1)`xx5^(@) = 2.5^(@)`
The angle ofthe prism is `5^(@)` .The ray emerges from refracting face of a prism normally.
Then , `i_(2)=r_(2)=0`
As A=`r_(1)+r_(2) implies r_(1)=A` or `r_(1)=5^(@)`
But `i_(1) =mu*r_(1)=3/2 xx 5 =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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