Glass has refractive index $μ$ with respect to air and the critical angle for a ray of light going from glass to air is $θ$ . If a ray of light is incident from air on the glass,with angle of incidence $θ$ , the corresponding angle of refraction is

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

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

An Intiative by Sri Chaitanya

$\sin^{- 1} (\frac{1}{μ})$

$\sin^{- 1} (\frac{1}{μ^{2}})$

90°

$\sin^{- 1} (\frac{1}{\sqrt{μ}})$

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

$\begin{array}{l} _{a} μ_{g} = \frac{1}{sinθ} \Rightarrow μ = \frac{1}{sinθ} . . . (i) \\ Now from Snell' s law μ = \frac{sini}{sinr} = \frac{sinθ}{sinr} \Rightarrow sinr = \frac{sinθ}{μ} . . . . (ii) \\ From equations (i) and (ii) \\ sinr = \frac{1}{μ^{2}} \Rightarrow r = \sin^{- 1} (\frac{1}{μ^{2}}) \end{array}$