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AP Physics 2 Unit 7 Refraction and Physical Optics
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Refraction and Lenses
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Refraction – the bending of light as it passes between two media with different optical densities
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The index of refraction
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Ex. The index of refraction for a diamond is 2.42. What is the wavelength of green light in a diamond if the frequency of light in air is 5.45 x 10 14 Hz?
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Snell’s Law – “Proof Ahoy”
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Ex. Light is incident in air (n air = 1.00) upon an equilateral crown glass prism (n g = 1.52) at an angle of 45.0⁰ to one face. Calculate the angle at which the light emerges from the opposite face.
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Total Internal Reflection
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Ex. A ray of light in a diamond (n = 2.42) strikes an interface at 28⁰. Will the beam of light enter the air or will it be reflected internally? Will the beam of light be reflected internally if the diamond is surrounded by water (n w = 1.33)?
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Applications of total internal reflection
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Dispersion of Light
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Lenses
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Two types of lenses
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Images formed by converging lenses
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Image formed by a diverging lens
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A familiar friend
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Sign conventions for lenses: f is positive for converging lenses and negative for diverging lenses s o is positive when light is reflected from the object (a real object) s i is positive when it is behind the lens (real image) and negative when it is in front of the lens (virtual image)
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Physical Optics
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First, what is diffraction of light? The trumpet and the spotlight outside of the door.
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Huygen’s Principle
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Linear Superposition
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Young’s Double Slit Experiment and Wave Properties of light
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Bright and dark fringes, also known as maxima and minima also known as bright and dark bands
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Position of the maxima and minima
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“Order in the fringe!”
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Intensity of the maxima and minima
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Two equations for double-slit interference
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Ex. The distance between two slits is 1.20 x 10 –4 m. An interference pattern is projected onto a screen 2.75 m away. Find the distance on the screen between the central maximum and and the third order maximum.
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Single slit interference
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Diffraction grating
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The electromagnetic Spectrum
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All wave of e-m spectrum travel at the speed of light c (2.99 x 10 8 m/s, like really, really fast). Note the relationship between wavelength, frequency and energy.
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E-m spectrum Radio (AM, FM, TV) > 30 cm Microwaves (radar, atomic-molecular research, microwave ovens) between 30 cm and 1 mm Infrared between 1 mm and 700 nm Visible light between 400 nm and 700 nm Ultraviolet between 400 nm and 60 nm X-rays between 60 nm and 10 -4 nm Gamma rays between 0.1 nm and 10 -5 nm
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Polarization of Light
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Let’s look at unpolarized light first
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The fence and the rope
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