Speed inorder to shift green light to blue light?

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SUMMARY

The discussion centers on the relativistic Doppler effect and its application to light wavelength shifts. To change the observed wavelength of green light (570 nm) to blue light (475 nm), one must utilize the relativistic Doppler formula: f_o = f_s √((1 + β)/(1 - β)), where β = v/c. By solving for β, users can determine the necessary speed to achieve this wavelength shift. The conversion from wavelength to frequency is also essential, using the equation c = fλ.

PREREQUISITES
  • Understanding of the relativistic Doppler effect
  • Familiarity with the equations for frequency and wavelength
  • Basic knowledge of light properties and electromagnetic spectrum
  • Concept of speed as a fraction of the speed of light (c)
NEXT STEPS
  • Study the relativistic Doppler effect in detail
  • Learn how to convert between wavelength and frequency using c = fλ
  • Explore applications of the Doppler effect in astrophysics
  • Investigate the implications of relativistic speeds on light perception
USEFUL FOR

Physics enthusiasts, students studying relativity, and anyone interested in the behavior of light under relativistic conditions will benefit from this discussion.

Moviemann345
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Hypothetically if your in a jet or spaceship & are shining a green laser pen out the window how fast must you travel to cause the green light (570 nm) to change into low energy blue light (475 nm)
 
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Look up the Doppler effect.
 
fo = fv/(v ± vs)? This isn't a homework problem & I am not in a physics class, I was just curious
 
Moviemann345 said:
fo = fv/(v ± vs)? This isn't a homework problem & I am not in a physics class, I was just curious
You need to use the relativistic Doppler formula:

f_o = f_s \sqrt{\frac{1 + \beta}{1 - \beta}}

where β = v/c

Solve for β, then you'll have the speed. To convert wavelength to frequency, use c = fλ.

This tells you the frequency shift seen by an observer when the light source moves toward him at speed v.
 
Oh ok thanks I'll try it out
 

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