Physics - Geometrical Optics Question with Solution | TestHub

PhysicsGeometrical OpticsTIR/Prism and DispersionEasy2 minPYQ_2020

PhysicsEasysingle choice

A ray of light travelling in a denser medium strikes the boundary of a rarer medium. The ray gets partially reflected and refracted. The angle of reflection is $r$ and that of refraction is $r^{'}$ . If the reflected and refracted rays make an angle of $90 °$ with each other then the critical angle for the pair of media is

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Answer:

Solution:

$_{D} μ_{R} = \frac{sin r}{{sin r}^{'}} -----(1)$

$At critical angle_{D} μ_{R} = \frac{sin C}{{sin 90}^{o}} -----(2)$

from equation (1) & (2)

$sin C = \frac{sin r}{sin (90 - r)} \Rightarrow sin r = tan r \Rightarrow C = {sin}^{-1} tan r$

Subject:PhysicsTopic:Geometrical OpticsSubtopic:TIR/Prism and Dispersion

⏱ 2mℹ️ Source: PYQ_2020

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