A ray of light from a denser medium strike a rarer medium at an angle of incidence i. The reflected and refracted rays make an angle of 900 with each other. The angles of reflection and refraction are r and r' . The critical angle is
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a
sin−1tan i
b
sin−1cot i
c
sin−1tanr'
d
tan−1sini
answer is A.
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Detailed Solution
r + r' = 90o given μ sin i = (1) sin r' Snell's Law ⇒1sin c. sin i = sin (90o−r) ⇒1sin c. sin i =cos r ⇒sin c = tan i ⇒c = sin−1 (tan i)
A ray of light from a denser medium strike a rarer medium at an angle of incidence i. The reflected and refracted rays make an angle of 900 with each other. The angles of reflection and refraction are r and r' . The critical angle is