A light ray is travelling from air to glass. The reflected and refracted rays are perpendicular to each other. If the angle of incidence in air is i the refractive index of glass is

sin i

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cos i

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tan i

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cot i

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Solution

The correct option is C $tan i$
Let $i$ and $r$ be the agle of incidence and angle of reflection respectively.

From the figure,

$i + 90 + r = 180$

$r = 90 - i$

We have the equation for refractive index,

$μ = \frac{s i n i}{s i n r}$

$⟹ μ = \frac{s i n i}{s i n (90 - i)} = \frac{s i n i}{c o s i} = t a n i$

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A light ray is travelling from air to glass. The reflected and refracted rays are perpendicular to each other. If the angle of incidence in air is i the refractive index of glass is

The correct option is C taniLet i and r be the agle of incidence and angle of reflection respectively.From the figure,i+90+r=180r=90−iWe have the equation for refractive index,μ=sinisinr⟹μ=sinisin(90−i)=sinicosi=tani