Speed inorder to shift green light to blue light?

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To shift green light (570 nm) to blue light (475 nm) while traveling in a jet or spaceship, one must apply the relativistic Doppler effect formula. The formula f_o = f_s √((1 + β)/(1 - β)) is essential, where β represents the ratio of the object's speed to the speed of light. To determine the necessary speed, solve for β and convert the wavelength to frequency using c = fλ. This calculation reveals the frequency shift experienced by an observer as the light source approaches. Understanding these principles allows for the exploration of light behavior at high velocities.
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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