A ray of light is incident at an angle i on a glass slab of refractive index μ. The angle between reflected and refracted light is 90o. Then, the relationship between i and μ is :
i=tan−1(1μ)
cosi=μ
tani=μ
sini=μ
A
tani=μ
B
sini=μ
C
cosi=μ
D
i=tan−1(1μ)
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Solution
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As situation can be diagrammatically as below (image) From law of reflection i=θ Now, θ+r+90o=180o ⇒i+r+90o=180o r=90o−i Also, from Snell's law : sinisinr=μ⇒sinisin(90o−i)=sinicosi=μ ⇒tani=μ
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