Ch 31: Geometric OpticsWorksheetSee all chapters
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Ch 01: Units & Vectors
Ch 02: 1D Motion (Kinematics)
Ch 03: 2D Motion (Projectile Motion)
Ch 04: Intro to Forces (Dynamics)
Ch 05: Friction, Inclines, Systems
Ch 06: Centripetal Forces & Gravitation
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Ch 15: Periodic Motion (NEW)
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Ch 20: The First Law of Thermodynamics
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Ch 24: Capacitors & Dielectrics
Ch 25: Resistors & DC Circuits
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Ch 27: Sources of Magnetic Field
Ch 28: Induction and Inductance
Ch 29: Alternating Current
Ch 30: Electromagnetic Waves
Ch 31: Geometric Optics
Ch 32: Wave Optics
Ch 34: Special Relativity
Ch 35: Particle-Wave Duality
Ch 36: Atomic Structure
Ch 37: Nuclear Physics
Ch 38: Quantum Mechanics

Concept #1: Total Internal Reflection

Practice: Most pools have an underwater light for swimming at night. If the underwater light is 1 m below the surface, for what area of the surface of the water are you able to see the light? Note that the refractive index of water is 1.33.

Additional Problems
A ray of light traveling in a block of glass (n = 1.52) is incident on the top surface of the block at an angle of 62.8° with respect to the normal. If a layer of oil is placed on the top surface of the glass, the ray is totally reflected. What is the maximum possible index of refraction of the oil?
The speed of light in a material is 0.41  c. What is the critical angle of a light ray at the interface between the material and a vacuum? a) 19° b) 22° c) 17° d) 24°
A ray in glass is incident onto a water-glass interface, at an angle of incidence equal to half the critical angle for that interface. The indices of refraction for water and the glass are 1.33 and 1.64, respectively. The angle that the refracted ray in the water makes with the normal is closest to: a) 29° b) 39° c) 34° d) 44° e) 24°  
Determine the maximum angle θ for which the light rays incident on the end of the light pipe shown in the figure above are subject to total internal reflection along the walls of the pipe. The pipe of diameter 4.27 μm has an index of refraction of 1.22 and the outside medium is air. 1. 65.0828 2. 27.2747 3. 67.1814 4. 63.1211 5. 48.5904 6. 54.5798 7. 36.0065 8. 71.9894 9. 69.4603 10. 44.3353
Light travels from water (n = 1.33) into glass (n = 1.5). Which of the following is the maximum incident angle with which light can still pass through the boundary? A) 27.5° B) 62.5° C) 48.4° D) No such angle exists
A fiber optic cable (n fiber = 1.56) is submergedd in water (n water = 1.35). What is the critical angle for light to stay inside the cable?
Consider a prism with the shape shown in the diagram. Its index of refraction is labeled by np, and it is submerged in a special liquid which has an index of refraction n ℓ, where the difference np − nℓ = 0.59. The light ray is perpendicularly incident from the liquid into the prism as shown in the diagram. Notice that the incident angle at both points A and B is 45°. Find the index of refraction of the prism for a critical angle of 45°.