(a) How fast would a motorist have to be traveling for a yellow (λ = 590.00 nm) traffic light to appear green (λ = 550.00 nm) because of the Doppler shift? (nm is nanometer and is 10-9 meters) (b) Should the motorist be traveling toward or away from the traffic light to see this effect? (c) How fast would a motorist have to be traveling for a yellow (λ = 590.00 nm) traffic light to appear red (λ = 700.00 nm) because of the Doppler shift?

(a) How fast would a motorist have to be traveling for a yellow (λ = 590.00 nm) traffic light to appear green (λ = 550.00 nm) because of the Doppler shift? (nm is nanometer and is 10-9 meters) (b) Should the motorist be traveling toward or away from the traffic light to see this effect? (c) How fast would a motorist have to be traveling for a yellow (λ = 590.00 nm) traffic light to appear red (λ = 700.00 nm) because of the Doppler shift?

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter5: Relativity

Section: Chapter Questions

Problem 87AP: Two astronomical events are observed to occur at a time of 0.30 s apart and a distance separation of...

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An Earth satellite used in the Global Positioning System moves in a circular orbit with period 11 h 58 min. (a) Determine the radius of its orbit. (b) Determine its speed. (c) The satellite contains an oscillator producing the principal nonmilitary GPS signal. Its frequency is 1 575.42 MHz in the reference frame of the satellite. When it is received on the Earths surface, what is the fractional change in this frequency due to time dilation, as described by special relativity? (d) The gravitational blueshift of the frequency according to general relativity is a separate effect. The magnitude of that fractional change is given by ff=Ugmc2 where Ug/m is the change in gravitational potential energy per unit mass between the two points at which the signal is observed. Calculate this fractional change in frequency. (e) What is the overall fractional change in frequency? Superposed on both of these relativistic effects is a Doppler shift that is generally much larger. It can be a redshift or a blueshift, depending on the motion of a particular satellite relative to a GPS receiver (Fig. P1.39).
Two astronomical events are observed to occur at a time of 0.30 s apart and a distance separation of 2.0109m from each other. How fast must a spacecraft travel from the site of one event toward the other to make the events occur at the same time when measured in the frame of reference of the spacecraft?
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