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Physics - Geometrical Optics Question with Solution | TestHub

PhysicsGeometrical OpticsTIR/Prism and DispersionHard2 minPYQ_2023

PhysicsHardsingle choice

Light travels a distance $x$ in time $t_{1}$ in air and $10 x$ in time $t_{2}$ in another denser medium. What is the critical angle for this medium?

Options:

Answer:

A

Solution:

Applying Snell's law for refraction from denser to rarer medium, we get
$μ_{d e n s e r} \times \sin C = μ_{a i r} \times \sin 90 ° \Rightarrow \frac{c}{v_{d e n s e r}} \sin C = \frac{c}{v_{a i r}} \times 1 \Rightarrow \frac{c}{\frac{10 x}{t_{2}}} \sin C = \frac{c}{\frac{x}{t_{1}}} \Rightarrow \sin C = \frac{10 t_{1}}{t_{2}} \Rightarrow C = \sin^{- 1} (\frac{10 t_{1}}{t_{2}})$

Stream:NEETSubject:PhysicsTopic:Geometrical OpticsSubtopic:TIR/Prism and Dispersion

⏱ 2mℹ️ Source: PYQ_2023

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