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Beatdiz
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Homework Statement
A man riding his bicycle was caught driving through a red traffic light. The man was taken to court and trialled where he claimed he was cycling so quickly that the light had appeared to be green to him due to the Doppler effect. The prosecution accepted his excuse but decided to find him 1 Euro for every km hr by which the cyclist was traveling at.
Combine and re-arrange the following two equations to give an equation that relates to the speed of the cyclist to the shift in the wavelength of the light emitted by the traffic light.
Homework Equations
z=[Δλ] / [λ0] ... Where z is the red/blueshift, λ0 is the original wavelength, Δλ is the change in wavelength
v= z x c ... Where v is the speed of the galaxy, c is the speed of light, z is as above.
The Attempt at a Solution
s = Speed of motorist
s = [(c)(Δλ/λ0)2-c] / [(Δλ/λ0)2+1]
Does my equation look correct as I'm not convinced? Any help would be great.