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1101_Physics ProblemsTechnical Physics

# 1101_Physics ProblemsTechnical Physics - 442 P39.20...

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442 Relativity P39.20 (a) When the source moves away from an observer, the observed frequency is f f c v c v s s obs source = + F H G I K J 1 2 where v v s = source . When v c s << , the binomial expansion gives c v c v v c v c v c v c v c s s s s s s s + F H G I K J = F H G I K J L N M O Q P + F H G I K J L N M O Q P F H G I K J F H G I K J F H G I K J 1 2 1 2 1 2 1 1 1 2 1 2 1 . So, f f v c s obs source F H G I K J 1 . The observed wavelength is found from c f f = = λ λ obs obs source : λ λ λ λ λ λ λ λ λ obs source obs source source obs = = = = F H G I K J = F H G I K J f f f f v c v c v c v c v c s s s s s 1 1 1 1 1 1 b g Since 1 1 v c s , λ λ v c source . (b) v c c c source nm 397 nm = F H G I K J = F H G I K J = λ λ 20 0 0 050 4 . . *P39.21 For the light as observed f c v c v c f v c v c c v c v c v c v c v c v c v c v c obs obs source source source obs nm 520 nm m s = = + = + + = = + = = + = = = = = × λ λ λ λ 1 1 1 1 1 1 650 1 1 1 25 1 562 1 1 562 1 562 0 562 2 562 0 220 0 220 6 59 10 2 7 . . . . . . . . . Section 39.5 The Lorentz Transformation Equations *P39.22 Let Suzanne be fixed in reference from S and see the two light-emission events with coordinates
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