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Unformatted text preview: Hwk 10 Solutions PHYS 142 Summer 09 Dr. Jenkins Question 35.9 (a) yes (b) no (c) yes (d) no; frequency is always only energy dependent, but since the speed changes by a factor of n i /n r , so must the wavelength ( = c/f ); the direction changes according to snells law, which means there is no change if the angle of incidence is zero. Question 35.19 Heat radiating off a hot blacktop road creates a pocket of warmer temperatures for a few meters above the road (with the highest temps just above the surface). Since the index of refraction is inversely proportional to temperature (b/c hotter air is less dense), this warm pocket results in a similar (but negative) gradient in the index value of the air, with lowest values nearest the road. These gradients are substantial enough for this effect to be non-negligible (though small), meaning that any light entering this pocket will be continuously and noticeably refracted upward (i.e. bent back toward the sky by each new layer of hotter, lower- n air) until it leaves the pocket or is absorbed (or, much less often, reflected) by the road. So light from just aboveuntil it leaves the pocket or is absorbed (or, much less often, reflected) by the road....
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This note was uploaded on 09/08/2011 for the course PHYS 142 taught by Professor Staff during the Summer '08 term at Maryland.
- Summer '08