6. (a) Derive for the relativistic Doppler effect, namely the relation between and , using the Lorentz transformation. (b) How fast must you be approaching a red traffic light (λ = 675 nm) for it to appear yellow ( = 575 nm)? Express B (your speed in terms of the speed of light) using r, defined as the ratio of the yellow wavelength to the red wavelength.

6. (a) Derive for the relativistic Doppler effect, namely the relation between and , using the Lorentz transformation. (b) How fast must you be approaching a red traffic light (λ = 675 nm) for it to appear yellow ( = 575 nm)? Express B (your speed in terms of the speed of light) using r, defined as the ratio of the yellow wavelength to the red wavelength.

Inquiry into Physics

8th Edition

ISBN:9781337515863

Author:Ostdiek

Publisher:Ostdiek

Chapter12: Relativity, Particle Physics, And Cosmology

Section: Chapter Questions

Problem 12P: . If the relativistic kinetic energy of a particle is 9 times its rest energy, at what fraction of...

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