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The refracting angle of a glass prism is `30^@.` A ray is incident onto one of the faces perpendicular to it. Find the angle `delta` between the incident ray and the ray that leaves the prism. The refractive index of glass is `mu=1.5.`

Answer» Correct Answer - A::D
Given , `A=30^@, mu=1.5` and `i_1=0^@`
Since, `i_0^@,` therefore, `r_1` is also equal to `0^@.`
Further, since, `r_1+r_2=A`
`:. r_2=A=30^@`
Using, `mu=sin i_2/sin r_2`
we have, `1.5=sin i_2/sin30^@`
or `sin i_2=1.5sin 30^@`
`=1.5xx1/2=0.75`
`:. i_2=sin^-1(0.75)=48.6^@`
Now, the deviation, `delta=(i_1+i_2)-A`
`=(0+48.6)-30`
or `delta=18.6^@`


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