f O ? f S 1 A speeder tries to explain to the police that the yellow warning lig

Question

fO ? fS

1

A speeder tries to explain to the police that the yellow warning lights she was approaching on the side of the road looked green to her because of the Doppler shift. How fast would she have been traveling if yellow light of wavelength 576.3 nm had been shifted to green with a wavelength of 562.4 nm? Note: For speeds less than 0.03c, the equation below will lead to a value for the observed frequency accurate to approximately two significant digits. (Accordingly, please enter your response to 2 significant digits. Use c = 3.00 m/s) if u

Explanation / Answer

Lo = 562.4
Le = 576.3
v = [(Lo/Le)^2 - 1] / [1 + (Lo/Le)^2] C
v = -0.02441 c
v = -7323050.3684 m/s
The minus sign means the observer is approaching the light source, which is therefore blueshifted.

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