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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
We know that ,
`r + r. = A`
Given that the ray of light emerges from the other face normally,
`:. R. = 0`
`rArr r = A - r. = 5 - 0 = 5^(@)`
Also `mu = (sin i)/(sin r)`
`rArr sin I = mu sin r`
`= 1.5 xx sin 5^(@) = 1.5 xx 0.0871`
`= 0.1307`
`rArr i = sin^(-1) (0.1307)`
`= 75^(@)`
The correct option is (a).
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