p45_032 - 32. First, we find the speed of the receding...

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Unformatted text preview: 32. First, we find the speed of the receding galaxy from Eq. 38-30: β = = 1 − (f /f0 )2 1 − (λ0 /λ)2 = 1 + (f /f0 )2 1 + (λ0 /λ)2 1 − (590.0 nm/602.0 nm)2 = 0.02013 1 + (590.0 nm/602.0 nm)2 where we use f = c/λ and f0 = c/λ0 . Then from Eq. 45-19, r= v βc (0.02013)(2.998 × 108 m/s) = = = 3.13 × 108 ly . H H 19.3 mm/s · ly (Note: if one uses the classical Doppler shift formula instead of the relativistic version in Eq. 38-30, one obtains r = 31.7 × 108 ly, which is reasonably close to the value we obtained above. This is to be expected since β ≈ 0.02 1.) ...
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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