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A glass prism has refractive index sqrt(...

A glass prism has refractive index `sqrt(2)` and refracting angle `30^(@)` . One of the refracting surface of the prism is silvered. A beam of monchromatic light will retrace it path it its angle of incidence on the unsilvered refracting surface of the prism is

Text Solution

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The correct Answer is:
`45^(@)`

since`r_(2)=0`,so `r_(1)=A implies r_(1)=30^(@)`
Applying law o refractive at`AB`
`mu_(1)sin i=mu_(2)sin r`
`1 sin i=sqrt(2)sin30^(@)`
`sin i=1//sqrt(2)`
`i=45^(@)`
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