You heard the one about the physicist who was given a ticket for running a red light. When he protested that the Doppler shift made the red light look green, the policeman changed the ticket to one for driving close to the speed of light!
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It would be somewhere between 0.15 and 0.25 c, depending on the exact wavelengths. Also, the physicist being able to detect the wavelength of the light would be rather difficult.
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Thanks. I was wondering if I might have been way off on that last portion!
The formula (ordered for this) is v/c= (λ0^2 - λr^2) / (λ0^2 + λr^2).
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