A ray of light refracts from medium 1 into a thin layer of medium 2, crosses the layer and is incident at the critical angle on the interface between the medium 2 and 3 shown in the figure. If the angle of incidence of ray is $θ,$ the value of $θ$ is

see full answer

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

$\sin^{- 1} (\frac{13}{18})$

$\sin^{- 1} (\frac{13}{16})$

$\sin^{- 1} (\frac{8}{9})$

$\sin^{- 1} (\frac{8}{13})$

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

$\frac{μ_{r}}{μ_{d}} = \frac{μ_{3}}{μ_{2}} = \sin c;$

$\frac{μ_{2}}{μ_{1}} = \frac{\sin θ}{\sin c}$

$\Rightarrow μ_{1} \sin θ = μ_{2} \sin c = μ_{3} \sin 90$

$\Rightarrow 1.6 \sin θ = 1.8 \sin c = 1.3$

$\Rightarrow \sin θ = \frac{13}{16}$

$\Rightarrow θ = \sin^{- 1} (\frac{13}{16})$

Watch 3-min video & get full concept clarity