For total internal reflection to take place, the angle of incidence i and the refractive index μ of the medium must satisfy the inequality

Question

For total internal reflection to take place, the angle of incidence i and the refractive index μ of the medium must satisfy the inequality (A) (1/ sin i) < μ (B) (1/ sin i) > μ (C) sin i < μ (D) sin i > μ

Tardigrade Admin · Accepted Answer

For total internal reflection i > C ⇒ sin i > sin C ⇒ sin i > (1/μ) ⇒ (1/ sin i) < μ

Q. For total internal reflection to take place, the angle of incidence $i$ and the refractive index $μ$ of the medium must satisfy the inequality

$\frac{1}{s i n i} < μ$

$\frac{1}{s i n i} > μ$

$sin i < μ$

$sin i > μ$

For total internal reflection $i > C$
$\Rightarrow sin i > sin C \Rightarrow sin i > \frac{1}{μ}$
$\Rightarrow \frac{1}{s i n i} < μ$

Q. For total internal reflection to take place, the angle of incidence i and the refractive index μ of the medium must satisfy the inequality

sini1​<μ

sini1​>μ

sini<μ

sini>μ