Modern Physics
Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 6, Problem 43E
To determine

The distance between wave group and particle wave crest.

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A spherical black body of radius r at absolute temperature T is surrounded by a thin spherical and concentric shell of radius R, black on both sides. Show that the factor by which this radiation shield reduces the rate of the cooling body is given by the following expression: aR^2/(R^2+br^2), and find the numerical coefficients and a and b.
To measure temperatures, physicists often use the variation of intensity of EM radiation emitted by an object. The wavelength at which the intensity is greatest is given by the equation:                                           λmaxT = 0.2898 cm.K where λmax is the wavelength of greatest intensity and T is the temperature of the object in kelvins. In 1965, microwave radiation peaking at λmax = 0.107 cm was discovered coming in all directions from space. To what temperature, in a) K    b) °C   c) °F, does this wavelength correspond?
The energy flux from the sun has a peak value of around 1500 W/m2, and solar cells are around 15% efficient. Estimate the area needed to satisfy US energy needs using solar cells, using the estimates that there are about 350 million people in the US and that we use an average of 90 kW/person. Also assume that there are about 6 hours of "peak" sunlight per day. Answer in square kilometers (do not put units in your answer, however).
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