hmwk11 - Homework set 14 November 9 2001 1 Complete the...

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Homework set 14 November 9, 2001 1. Complete the analysis of the Fizeau experiment begun in class. I.e., derive (to lowest order in β , and for constant n ) v phase = c n ± v µ 1 - 1 n 2 + O ( β 2 ) 2. In a certain region of space, an observer at rest relative to the local neighborhood of stars sees the distribution of stars to be isotropic. A second observer moves relative to the ±rst in the positive z-direction with speed v = βc . (a) Show that the second observer sees a distribution of stars which depend upon the polar angle θ 0 (in spherical corrdinates) according to n ( θ 0 ) = N 4 π ( 1 - β 2 ) (1 - β cos θ 0 ) 2 where N is the total number of visible stars. Discuss this result. Plot n ( θ 0 ) versus θ 0 for β = 0 . 1 , 0 . 5 , 0 . 9. How would the sky appear to the second observer as β 1? (b) To the ±rst observer, all the stars visible emit light of the same color: for simplicity assume that each star is a monochromatic emitter of light of wavelengh λ 0 . For the second observer, ±nd the observed
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This note was uploaded on 01/08/2012 for the course PHYSICS 707 taught by Professor Electrodynamics during the Fall '11 term at LSU.

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hmwk11 - Homework set 14 November 9 2001 1 Complete the...

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