# Geometric Optics

### Problems on Refraction

Problem : As light moves from air ( n 1.00 ) to amber it deviates 18 o from its 45 o angle of incidence. Which way does it bend? What is the speed of light in amber?

Problem : A transparent fiber of index of refraction 1.6 is surrounded (cladded) by a less dense plastic of index 1.5. At what angle must a light ray in the fiber approach the interface so as to remain within the fiber?

Problem : A light ray in air approaches a water surface ( n 1.33 ) such that its electric vector is parallel to the plane of incidence. If θ i = 53.06 o , what is the relative amplitude of the reflected beam? What about if the electric field is perpendicular to the plane of incidence?

Problem : By what angle do blue light ( λ b = 460 nm) and red light ( λ r = 680 nm) disperse upon entering (from vacuum) a medium with N = 7×1038 , ε = 1.94 , and σ 0 = 5.4×1015 Hz at an incident angle of 20 o (the electron charge is 1.6×10-19 Coulombs and its mass is 9.11×10-31 kilograms)?

Problem : What is the rate of change of the speed of light with angular frequency in a dielectric medium?

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