Doppler Effect -- How fast would you need to go for a red light to appear green?

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SUMMARY

The discussion centers on the Doppler Effect and its implications for perceiving red lights as green while traveling at extreme speeds. Participants reference the formula for calculating frequency based on wavelength, specifically noting that the wavelength of red light is approximately 633nm. A user estimates that one would need to travel at 111,600,000 mph to achieve this effect. The conversation also touches on the practical impossibility of such speeds in a vehicle and includes anecdotal references to urban legends related to this phenomenon.

PREREQUISITES
  • Understanding of the Doppler Effect and its mathematical implications.
  • Knowledge of light wavelengths, specifically red (633nm) and green light.
  • Familiarity with the speed of light (approximately 3.0e8 m/s).
  • Basic algebra skills for frequency and wavelength calculations.
NEXT STEPS
  • Research the Doppler Effect in both sound and light waves.
  • Learn how to calculate frequency from wavelength using the formula: frequency = speed of light / wavelength.
  • Explore the implications of traveling at relativistic speeds in physics.
  • Investigate urban legends and their scientific basis, particularly in relation to the Doppler Effect.
USEFUL FOR

Physics enthusiasts, students exploring wave phenomena, and anyone interested in the theoretical implications of extreme speeds on light perception.

Parker Hame
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I was driving the other day, and I was about to go past a green light when it turned yellow, so I sped up. I got past the light but but it got me wondering, how fast would you need to go for a red light to appear green due to the Doppler Effect.
(Excuse me if this question doesn't belong in general physics, I wasn't sure where it belonged)
 
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Do you know the formula for the Doppler effect and what frequencies correspond to red and green?
 
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I do know that the Doppler effect causes light or sound waves to have smaller or thigher bends in front of them when you go faster. Green light wavelength is tighter than red, so this is possible (theoretically that is, I know that this is going to be fast and a car would probably burn up before it reached that speed). People in rockets going to space experience this.
 
Parker Hame said:
This was the first I found without extensive research
https://en.m.wikipedia.org/wiki/Doppler_effect

OK you need to find the wavelength of green and red light and then use those formula

here's a head start for you...

convert wavelength to frequency
wavelength of red light is around 633nm
frequency = speed of light / wavelength
frequency = 3.0e8 m/s / 633nm
frequency =you have a go at the restDave
 
davenn said:
OK you need to find the wavelength of green and red light and then use those formula

here's a head start for you...

convert wavelength to frequency
wavelength of red light is around 633nm
frequency = speed of light / wavelength
frequency = 3.0e8 m/s / 633nm
frequency =you have a go at the restDave
Dude, I have no degrees whatsoever, I'm asking because I don't know, I want to know, but I can't do this equation.
 
Urban Legend holds that, back in the '60s on the West Coast, a couple of young physicists tried this ploy to side-step certain driving bans for 'running the red'. Taking advice, the local judge stuck them with fixed-fee speeding fines for each additional 10 mph over the posted limit. After hasty calculation, the perps pleaded to the original charge...
 
Parker Hame said:
Dude, I have no degrees whatsoever, I'm asking because I don't know, I want to know, but I can't do this equation.
If one cannot do the equations then the obvious point to learning the result is to have a big number to go "woo woo" over. If the supply of such numbers is running low, there are always sports science shows to watch.

Rough rule of thumb (classical Doppler): If you want to halve the frequency, you can run away from the source at half the speed of the wave. If you want to double the frequency you can run toward the source at the speed of the wave.
 
Parker Hame said:
Dude, I have no degrees whatsoever, I'm asking because I don't know, I want to know, but I can't do this equation.
well you shouldn't have marked your thread as I for intermediate then, aye !
that assumes you have a very good education
[Mentor's note: the thread level has been changed to "B"]

you didn't even attempt to finish off the example I gave above and then do the same for the green light
 
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  • #10
Parker Hame said:
Dude, I have no degrees whatsoever, I'm asking because I don't know, I want to know, but I can't do this equation.
Don't sell yourself short. You can do it.
And the reason we aren't spoon-feeding you the answer is that we know you can do it, and we know this because we've all been where you are now.
 
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  • #11
davenn said:
well you shouldn't have marked your thread as I for intermediate then, aye !
that assumes you have a very good education
[Mentor's note: the thread level has been changed to "B"]

you didn't even attempt to finish off the example I gave above and then do the same for the green light
I did attempt to, actually. And I failed. I thought the thread level meant how hard the question was.
 
  • #12
Show us your working and someone will see where you went wrong.
 
  • #13
jbriggs444 said:
Rough rule of thumb (classical Doppler): If you want to halve the frequency, you can run away from the source at half the speed of the wave. If you want to double the frequency you can run toward the source at the speed of the wave.

This post was mostly ignored, so I'm quoting it. Even without knowledge of algebra, with this rule of thumb the OP should get into the ballpark of speed necessary. OP, look up the speed of light, and the frequencies of green and red, and you have all the information needed.
 
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  • #14
To my calculations, the speed at witch you would must travel to run a red light claiming it was green due to the Doppler affect you would have to go
111,600,000 mph
By the way, I have no degrees because I am 12
 
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  • #16
Slight snag: if in atmosphere, you'd both burn up your vehicle, and blow out every window in any building left standing within a scary distance from your route...

FWIW, there's an 'urban legend' that a Valley dude claimed this red/green Doppler shift to mitigate a red-running ban to 'driving without due care & attention' or US equivalent. Sadly, the local court's clerk was physics-aware, did the math and reckoned the fine per each 5 mph 'over the limit' would clear much of the US National Debt. So the driver accepted ban for the red-run, plus a hefty fine for 'contempt of court'...
 
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  • #17
Parker Hame said:
To my calculations, the speed at witch you would must travel to run a red light claiming it was green due to the Doppler affect you would have to go
111,600,000 mph
By the way, I have no degrees because I am 12
Just when people were starting to get ratty with you, you spring the 12 yrs thing on us. Congrats, you had us all going!
 
  • #18
sophiecentaur said:
Just when people were starting to get ratty with you, you spring the 12 yrs thing on us. Congrats, you had us all going!
This thread was necro'd long enough that he's likely 16 now.
 
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