Question

Calculate the critical angle for diamond having a refractive index of 2.42 and Crown glass having a refractive index of 1.52.

Answer 1

Let the refractive index of air be 1

For diamond

${\mu }_{d}sinC={\mu }_{air}sin90$

$2.42sinC=1$

Critical angle for diamond is $C={24.4}^o$

For crown glass

${\mu }_{crown}sin{C}_1={\mu }_{air}sin90$

$1.52sin{C}_1=1$

Critical angle for crown glass is $C_1={41.14}^o$