Modern Physics For Scientists And Engineers
Modern Physics For Scientists And Engineers
2nd Edition
ISBN: 9781938787751
Author: Taylor, John R. (john Robert), Zafiratos, Chris D., Dubson, Michael Andrew
Publisher: University Science Books,
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Chapter 3, Problem 3.39P
To determine

The time required by the Brownian particle to diffuse an average distance of 5 times its diameter.

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The radius of our sun is r = 6.96 × 108 m and its total power is 3.85 × 1026 W. The area of a sphere is A = 4πr2.a) Assuming that the surface of the Sun emits like a black body, calculate its surface temperatureb) Using the result of part (a), find λmax for the sun.
The two spherical bodies A (radius 6 cm) and B (radius 18 cm) are at temperatures T1 and T2, respectively. The maximum intensity in the emission spectrum of A is at 500 nm and in that of B is at 1500 nm. Considering them to be black bodies, what will be the ratio of the rate of total energy radiated by A to that of B?
Question 8. The filament of a light bulb has a surface area 64 mm2. The filament can be considered as a black body at temperature 2500 K emitting radiation like a point source when viewed from far. At night the light bulb is observed from a distance of 100 m. Assume the pupil of the eyes of the observer to be circular with radius 3 mm. Then (Take Stefan-Boltzmann constant = 5.67 x 10-8 Wm-2K-4, Wien's displacement constant = 2.90 x 10-3m-K, Planck's constant = 6.63 x 10-34 Js, speed of light in vacuum = 3.00 ×108 ms-1) a) power radiated by the filament is in the range 642 W to 645 W b) radiated power entering into one eye of the observer is in the range 3.15 x 10-8 W to 3.25 x 10-8 w c) the wavelength corresponding to the maximum intensity of light is 1160 nm d) taking the average wavelength of emitted radiation to be 1740 nm, the total number of photons entering per second into one eye of the observer is in the range 2.75 x 101 to 2.85 x 1011
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