One face of a prism with a refrective angle of `30^@` is coated with silver. A ray of light incident on another face at an angle of `45^@` is refracted and reflected from the silver coated face and retraces its path. What is the refractive index of the prism?
A. `sqrt2`
B. `3//sqrt2`
C. 1.5
D. 1.33

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1 Answers

Correct Answer - A
(a) Given, `r_(2)=0,r_(1)=A=30^(@),and i_(1)=45^(@)`
`therefore` Refractive index, `mu=sini_(1)/sinr_(1)=sin45^(@)/sin30^(@)=(1//sqrt2)/(1//2)=sqrt2`

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