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The refractives index of the materials o...

The refractives index of the materials of a prism is `sqrt(2)`and its prism angle is`30^(@)`One of its refracting faces is polished .The incident beam of light will return back for the angle of incidence

A

`60^(@)`

B

`45^(@)`

C

`30^(@)`

D

`0^(@)`

Text Solution

Verified by Experts

The correct Answer is:
2
The ray of light returns back from the polished face`AC`
`:./_ADE=90^(@)`.from the figure it is clear that the angle of refraction at face`AB`is `30^(@)`hence from shell's law
`mu=(sin i)/(sin r)`
`mu= sqrt(2) or r=30^(@)`
`:.sqrt(2)=(sin i)/(sin 30^(@))`
`or sin i =(sqrt(2))/(2)`
`=(1)/(sqrt(2))=sin i`
`:. i=45^(@)`
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