Question

In the diagram shown, a ray of light is incident on the interface between $1$ an d$2$ at angle slightly greater than critical angle. The light suffers total internal reflection at this interface. After that the light ray falls at the interface of $1$ and $3$, and again it suffers total internal reflection. Which of the following relations should hold true?

• A. ${\mu }_1<{\mu }_2<{\mu }_3$
• B. ${\mu }_1^2-{\mu }_2^2>{\mu }_3^2$
• C. ${\mu }_1^2-{\mu }_3^2>{\mu }_2^2$
• D. ${\mu }_1^2+{\mu }_2^2>{\mu }_3^2$

Answer 1

Answer: (B), (C)

The correct options are
B ${\mu }_1^2-{\mu }_2^2>{\mu }_3^2$
C ${\mu }_1^2-{\mu }_3^2>{\mu }_2^2$