Question

Problem 4:  You can determine the index of refraction of a substance by measuring its critical angle for total internal reflection.

Randomized Variables:  Θ_c,w = 65.2°

Part (a) What is the index of refraction of a substance that has a critical angle of 65.2° when submerged in water (with index of refraction 1.333)?
Numeric   : A numeric value is expected and not an expression.
n₁ = __________________________________________


Part (b) What would the critical angle be for this substance in air?
Numeric   : A numeric value is expected and not an expression.
Θ_c,a = __________________________________________

Answer 1

Solution We can find the relation between cnitical angle er and the onefractive indices is as below. Sinec 12), Here , Internal meblecting media refractive Index 0)2 supponted media index, = n = del Singa - ,- 1:323 / SmC65.2) 211-46 (a) 6) Oca Sinn (2) =) Oca sint (1/ 1.46) (1/1.4) =43.23") )