Which Focal Length is Longer for Different Light Colors?

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SUMMARY

The discussion confirms that green light has a shorter focal length than red light when passing through a converging lens due to its higher index of refraction. This is established through Snell's Law, which indicates that light with a higher refractive index converges more quickly. Additionally, when a photographer moves closer to the subject and refocuses the camera, the lens moves further from the film, as the new focal point shifts away due to the convergence of light rays.

PREREQUISITES
  • Understanding of Snell's Law and its application in optics
  • Knowledge of lens types, specifically converging lenses
  • Familiarity with the concept of focal length and its significance in photography
  • Basic principles of light behavior, including refraction and convergence
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  • Research the effects of different wavelengths of light on lens performance
  • Explore the principles of lens design and how they affect focal length
  • Study the relationship between refractive index and light speed in various media
  • Learn about camera lens mechanics and how focal length impacts photography
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Optics students, photographers, and anyone interested in the principles of light behavior and lens functionality.

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Homework Statement



1. A converging lens is used to focus parallel beams of red light and then later used to focus parallel beams of green light. Which focal length is longer? Explain

2. A photographer moves closer to his subject & then refocuses the camera. Is the camera lens now closer to or further from the film? Explain

Homework Equations





The Attempt at a Solution



I want to say red for the first one. I'm guessing that from snells law green light will converge quicker since it has a higher index of refraction than red light?

For the 2nd one I want to say further...Since the camera is closer the light coming in converges faster so the new focal point will be further away from the film?
 
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"Blue Bent Best" - the green light focusses at a shorter distance than red.
So yes, the effective focal length for green light is shorter.

Correct again.
A useful rule to remember is that a lens at a distance 'f' focus light at infinity a lens at a distance 2f focuses light from a distance 2f.
 
mgb_phys said:
"Blue Bent Best" - the green light focusses at a shorter distance than red.
So yes, the effective focal length for green light is shorter.

Correct again.
A useful rule to remember is that a lens at a distance 'f' focus light at infinity a lens at a distance 2f focuses light from a distance 2f.

thanks for the response!
 

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