p38_074 - 74. (a) Using Eq. 38-7, we expect the dilated...

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74. (a) Using Eq. 38-7, we expect the dilated time intervals to be τ = γτ 0 = τ 0 p 1 ( v/c ) 2 . (b) We rewrite Eq. 38-30 using the fact that period is the reciprocal of frequency ( f R = τ 1 R and f 0 = τ 1 0 ): τ R = 1 f R = Ã f 0 s 1 β 1+ β ! 1 = τ 0 s 1+ β 1 β = τ 0 r c + v c v . (c) The Doppler shift combines two physical eFects: the time dilation of the moving source and the travel-time diFerences involved in periodic emission (like a sine wave or a series of pulses) from a traveling source to a “stationary” receiver). To isolate the purely time-dilation eFect, it’s useful to
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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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