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Q.

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)
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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