At what angle should a ray of light be incident on the face of a prism of refracting angle $6 0^{\circ}$ so that it just suffers total internal reflection at the other face? The refractive index of the material of the prism is $1.524$ .

Question

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Answer 1

Angle of prism A is $6 0^{o}; μ = 1.524$
$i$ is angle of incidence.
$r_{1}$ is angle of refraction.

$r_{2}$ is angle of incidence during exit from other end.

$e$ is 90^o angle of convergent.
$μ = s i n e / s i n r_{2} \Rightarrow r_{2} = 4 1^{o}$

$r_{1} = A - r_{2} = 1 9^{o}$
$\Rightarrow μ = s i n i / s i n r_{1} \Rightarrow i = 29.7 5^{o}$

Answer 2

Angle of prism A is

6 0^{o}; μ = 1.524

i

is angle of incidence.

r_{1}

is angle of refraction.

r_{2}

is angle of incidence during exit from other end.

e

is 90^o angle of convergent.

μ = s i n e / s i n r_{2} \Rightarrow r_{2} = 4 1^{o}

r_{1} = A - r_{2} = 1 9^{o}

\Rightarrow μ = s i n i / s i n r_{1} \Rightarrow i = 29.7 5^{o}