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