1.

A ray of light falls on a transparent glass slab of refractive index 1.62. What is the angle of incidence if the reflected ray and refracted ray are mutually perpendicular?

Answer»

`TAN^(-1)(1.62)`
`tan^(-1)(1/1.162)`
`1/(tan^(-1)(1.62))`
none of these

Solution :(a) Here `/_i+90^(2)+/_r=180^(@)`
`i+R=90^(@)`
`r=(90^(@)-i)`
From Snel's law
`mu=(sin i)/(sin r)=(sin i)/(sin(90^(@)-i))`
`=(sin i)/(cos i)=tan i`
`mu=tani`
`i=tan^(-1)(mu)`
`i=tan^(-1)(1.62)`


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