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Physics – Verizon Next Step Program Vibrations and Waves Week 7 Notes - Reflection and Refraction of Light |
22.1) The Nature of Light Newton said light is made of particles. Young said light consists of waves. Maxwell - speed of light is 3.0 x 108 m/s Einstein - energy of a photon E = hf Where E is the Energy, h is Planck's constant (2.23 x 10-34J s) and f is the frequency In some cases light acts as a wave and in others it acts as a particle. 22.2) Measurements of the speed of light Roemer's method - approximated the speed of light by observing the orbit of the moons of Jupiter Fizeau's technique - approximated the speed of light using a spinning wheel with teeth and a mirror. 22.3) The Ray Approximation in Geometric Optics Light travels in a straight line path until it encounters a boundary between two different materials. 22.4) Reflection and Refraction specular reflection - from a smooth surface diffuse reflection - from a non-smooth surface From now on, when we say reflection in this class, we mean specular reflection the angle of reflection equals the angle of incidence, or θ'1 = θ1 This can cause the 'red eye' effect if the flash is close to the lens. Refraction of light: sinθ1/sinθ2=v2/v1 where v2 is the speed of light in material 2 and v1 is the speed of light in material 1. The path of light through a refracting surface is reversible. 22.5) The Law of Refraction index of refraction: n = speed of light in a vacuum/speed of light in a medium = c/v as light travels from one medium to another its wavelength does not change. Snell's Law: n= λ0/λ1 n1 sin θ1 = n2 sin θ2 Where n is the index of refraction for the material and θ is the angle with the perpendicular. 22.6) Dispersion and Prisms Light of different wavelengths is bent at different angles when incident on refracting material. The index of refraction decreases with increasing wavelength. ROY-G-BIV - red has the largest wavelength, violet has the smallest. 22.7) The Rainbow The dispersion principal as discussed in 22.6 is what causes a rainbow. 22.8) Huygen's Principle Uses moving spheres to model the motion of light. (picture on p. 739) 22.9) Total Internal Reflection It is possible for θ2, the angle of refraction, to be >= 90 degrees. If the angle is > 90 degrees, that is called total internal reflection. To find θc, the critical angle, defined as 90 degrees, we can use Snell's law. Remember, the sin(90 degrees) = 1. sin θc = n2/n1 Application: fiber optics Light is reflected off the edges of the fiber allowing it to bend around corners and curves. Doctors use to see inside the human body. Phone companies use to send signals. The higher wavelength of light (as compared to electricity) allows it to carry a much higher volume of information. It also travels faster. HW 7: p. 745 M.C. # 1, p. 746 C.Q. #10, Problem # 1 p. 747 # 5 p. 749 # 26, 31