Q138 / 200 · NEET 2023 (All India) · Physics

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?

Correct answer
A
$\sin^{- 1} (\frac{10 t_{1}}{t_{2}})$
B
$\sin^{- 1} (\frac{t_{2}}{t_{1}})$
C
$\sin^{- 1} (\frac{10 t_{2}}{t_{1}})$
D
$\sin^{- 1} (\frac{t_{1}}{10 t_{2}})$

Solution

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

Hence, the correct answer is option: 'A'.

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Light travels a distance x in time t1 in air and 10x in time t2 in another denser medium. What is the critical angle for this medium?

Solution

Relevant Questions

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?