A ray is incident on boundary separating glass and water. Refractive index for glass is (3/2) and refractive index for water is (4/3) critical angle for glass-air boundary is

Question

A ray is incident on boundary separating glass and water. Refractive index for glass is (3/2) and refractive index for water is (4/3) critical angle for glass-air boundary is (A)  sin -1((3/4)) (B)  sin -1((2/3)) (C)  sin -1((8/9)) (D)  sin -1((1/9))

Tardigrade Admin · Accepted Answer

sin iC=(μr/μd) Where μr= R.I. of rarer medium μd= R.I. of denser medium ∴ sin iC=(4/3) × (2/3) iC= sin -1((8/9))

Q. A ray is incident on boundary separating glass and water. Refractive index for glass is $\frac{3}{2}$ and refractive index for water is $\frac{4}{3}$ critical angle for glass-air boundary is

$sin^{- 1} (\frac{3}{4})$

$sin^{- 1} (\frac{2}{3})$

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

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

$sin i_{C} = \frac{μ _{r}}{μ _{d}}$
Where $μ_{r} =$ R.I. of rarer medium
$μ_{d} =$ R.I. of denser medium
$∴ sin i_{C} = \frac{4}{3} \times \frac{2}{3}$
$i_{C} = sin^{- 1} (\frac{8}{9})$

Q. A ray is incident on boundary separating glass and water. Refractive index for glass is 23​ and refractive index for water is 34​ critical angle for glass-air boundary is

sin−1(43​)

sin−1(32​)

sin−1(98​)

sin−1(91​)