What Determines the Minimum Thickness of a Soap Bubble for Colorful Reflections?

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SUMMARY

The minimum thickness of a soap bubble required for colorful reflections is determined by the equation λ = 4nt, where λ represents the wavelength of light, n is the refractive index, and t is the thickness of the bubble. Given a refractive index of 1.33 for the soap bubble, the smallest wavelength of visible light (approximately 400 nm) should be used to calculate the minimum thickness. This results in a minimum thickness of approximately 0.133 mm for brightly-colored reflections to be observed.

PREREQUISITES
  • Understanding of the refractive index and its implications in optics
  • Familiarity with the concept of wavelength in the context of light
  • Basic knowledge of interference patterns in thin films
  • Ability to apply mathematical equations to physical scenarios
NEXT STEPS
  • Research the principles of thin film interference in optics
  • Learn about the properties of light and its wavelengths in the visible spectrum
  • Explore practical applications of soap bubbles in physics demonstrations
  • Investigate the effects of varying refractive indices on light reflection and refraction
USEFUL FOR

Students studying optics, physics enthusiasts, and educators looking to explain the phenomena of light reflection and interference in soap bubbles.

TomHepp
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Homework Statement


A soap bubble of refractive index 1.33 is illuminated by white light perpendicular to its
surface and viewed normal to its surface. What is the minimum thickness of the bubble for
which brightly-coloured reflected light would be seen?

Homework Equations


\lambda=4nt

The Attempt at a Solution



How do you solve this without knowing the wavelength?
 
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What's the range of wavelengths for visible light?
 
Ahh I see you use the smallest wavelength for it to be the minimum, thanks.
 

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