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Unformatted text preview: PHYS 4D Solution to HW 9 March 6, 2011 Problem Giancoli 3664 (II) A certain galaxy has a Doppler shift given by f f = 0 . 697 f , How fast is it moving away from us? Solution: f f = 0 . 697 f f f = 0 . 303 . The galaxy is moving away from the Earth. Eq. 3615b f = f c v c + v v = 1 f 2 f 2 1 + f 2 f 2 c = 0 . 83 c. Problem Giancoli 3666 (II) Starting from Eq. 3615a, show that the Doppler shift in wavelength is = v c if v c . Solution: Eq. 3615a: = c + v c v = 1 c v c + v = 1 1 v c 1 + v c = 1 ( 1 v c ) 1 2 ( 1 + v c ) 1 2 1 ( 1 v c ) = v c . Problem Giancoli 3668 (III) A certain atom emits light of frequency f when at rest. A monatomic gas composed of these atoms is at temperature T . Some of the gas atoms move toward and others away from an observer due to their random thermal motion. Using the rms speed of thermal motion, show that the fractional difference between the Dopplershifted frequencies for atoms moving directly toward the observer and directly away from the...
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This note was uploaded on 09/19/2011 for the course PHYS 4d taught by Professor Staff during the Winter '08 term at UCSD.
 Winter '08
 staff
 Physics

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