Question
On a glass plate a light wave is incident at an angle of 60∘. If the reflected and the refracted waves are mutually perpendicular, the refractive index of material is
Answer: Option B
:
B
from figure
Angle of refraction =∠r
Angle of incidence is equal to angle of reflection [law of reflection]
∴ Angle of reflection =60∘
Given that reflected and refracted ray are perpendicular.
From figure
60∘+90∘+∠r=180∘ [angle sum property]
∠r=30∘
∠i=60∘,∠r=30∘
so μ=sin60sin30=√3
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:
B
from figure
Angle of refraction =∠r
Angle of incidence is equal to angle of reflection [law of reflection]
∴ Angle of reflection =60∘
Given that reflected and refracted ray are perpendicular.
From figure
60∘+90∘+∠r=180∘ [angle sum property]
∠r=30∘
∠i=60∘,∠r=30∘
so μ=sin60sin30=√3
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