1.

The angle of refraction is found to be half the angle of refraction. Then refractive index of medium isA. `2 cos^(-1) (mu//2)`B. `cos^(-1) (mu)`C. `2 sin^(-1) (mu)`D. `2 cos^(-1) (mu)`

Answer» Correct Answer - A
`r = (i)/(2) " " :. i = 2r`
`mu = (sin i)/(sin r) = (sin 2r)/(sin r) = (2 sin r cos r)/(sin r)`
`:. cos r = (mu)/(2)`
`r = cos^(-1)((mu)/(2))`
`(i)/(2) = cos^(-1)((mu)/(2))`
`i = 2 cos^(-1)((mu)/(2))`


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