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  Home : Math & Science : Physics Study Guides : Optics : Light : Problems on Light in Dense Media
Light
 
 
Problems on Light in Dense Media
Problem 3.1: If there were no atmosphere, what color would be sky appear? [Solution]
Problem 3.2: Use a dimensional argument to show that the proportion of the electric field of a light ray scattered by an atomic oscillator is proportional to λ-2. Let Ei and Es be the incident and scattered amplitudes, respectively, with Es corresponding to a distance d from the scatterer. Assume EsEI, Es∝1/r and also that the scattered amplitude is proportional to the volume of the scatterer. [Solution]
Problem 3.3: Derive an expression for the time taken by light to travel through a substance consisting of m layers of material each with thickness di and index of refraction ni. [Solution]
Problem 3.4: Propose a simple argument to show that for reflection from a planar surface, Fermat's principle demands that the incident and reflected rays share a common plane with the normal to the surface. [Solution]
Problem 3.5: Derive the law of reflection θi = θr using Fermat's principle. [Solution]
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