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110407_hw9 - Earth on a clear day is about 1.0 kW/m 2 a...

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April 7, 2011 PHYS 4132 Homework 9 Due date: April 14, 2011 1. X-rays which strike a metal surface at an angle of incidence to the normal greater than a critical angle θ 0 are totally reflected. a. Assuming that a metal contains n free electrons per unit volume, calculate θ 0 as a function of the angular frequency ω of the x -rays. b. If ω and θ are such that total reflection does not occur, calculate what fraction of the incident wave is reflected. You may assume, for simplicity, that the po larization vector of the x -rays is perpendicular to the plane of incidence. 2. Measurements of the temperature rise of an absorbing plate oriented normal to the sun’s rays show that the energy flux delivered by the sunlight to the surface of the
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Unformatted text preview: Earth on a clear day is about 1.0 kW/m 2 . a. Determine the amplitude of the electric and magnetic fields in the sunlight if the sun were a monochromatic source. b. Evaluate the mean electric and magnetic energy densities. 3. Radio station KLSU radiates a power of 100kW at about 90MHz from its antenna on LSU campus, approximately 2 km from Nicholson Hall. Obtain a rough estimate of the strength of its electric field at Nicholson Hall in volts per centimeter. Recommended practice problems for independent self-study: • Griffiths problems 10.3 on p. 420 and 10.8 on p. 426...
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