Waves (1) - reflection, refraction, prisms and apparent depth
1 Huygens' principle
1 What is meant by an envelope of wavelets?
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2 Are Huygens' wavelets real, or are they merely geometrical constructions?
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3 What wave phenomena can be "predicted" by using Huygens' principle?
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2 Snell's law
1a What exactly is Snell's law, and how are the angles of incidence and refraction defined.
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b Place the following in order of increasing refractive index. air, water, glass, diamond.
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2 How does one find an angle of refraction given and angle of incidence and the refractive index?
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3 How is the refractive index related to the wavelength and velocity of light in glass?
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4 How is Snell's law applied to the interface between .... say ....... water and glass.
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3 Lenses
1 What is meant by real and virtual and what alternative description could be applied?
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2 What do the symbols u, v and f represent?
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3 How could a student find the possible error in v (image distance) when using a screen to find images formed by a convex lens?
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4 How is the focal length of a convex lens determined most easily?
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5 What is the method of no parallax and what is it used for?
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Multiple lenses in contact
1 What is meant by the power of a lens?
2 How is the focal length of a concave lens determined most easily?
4 Mirrors and lenses
1 Where is the image in a plane mirror and how is it found with a ray diagram?
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2 What is the effect that makes a right-hand glove appear as a left-hand glove in a plane mirror?
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3 How is light returned from a right-angled corner?
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4 How many images appear when an object is placed in a two dimensional right-angled corner?
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5 How many images appear when an object is placed in a three dimensional right-angled corner?
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6 What is the difference between the focal points of a circular (spherical) and a parabolic mirror?
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7 How is the focal length of a thin circular mirror related to the radius of curvature?
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8 Under what conditions is a real image formed in a concave mirror?
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9 Describe the image formed in a convex optical mirror?
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10* How large must a parabolic mirror be to effectively focus the sounds of bird song?
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5 The thin lens formula
1 On what mathematical principle does the derivation of the lens formula depend?
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2 What is meant by a 'thin' lens?
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3 What assumptions are made when the ray diagram is drawn which lead to an approximate formula in a real case?
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4 What happens to the value of the image distance v as the radius of curvature of a concave mirror approaches infinity?
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6 Total internal reflection
1 Why is this type of reflection referred to as total?
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2 Why is this type of reflection referred to as internal?
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3 How exactly is the critical angle for total internal reflection related to the refractive index of the two materials?
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4 What is an interference film mirror?
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5 What is the Brewster angle?
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7 Prisms and Apparent depth
1* Newton is often credited with the first description of spectral colors. How appropriate is this assessment?
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2 How does the dispersion of light by a prism compare with the dispersion by a diffraction grating?
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3 What is meant by minimum deviation and when does it occur?
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4 How is a prism used to measure refractive index?
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5 How is apparent depth used to measure refractive index?
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8* Refraction in the atmosphere (not required for IB)
1* What critical role does minimum deviation play in the formation of ice crystal halos and of rainbows?
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2* What is the difference between superior and inferior mirages, and what temperature gradients lead to their formation?
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3* Why is the green flash green and not blue?
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