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

AI Thread Summary
The minimum thickness of a soap bubble 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. For a soap bubble with a refractive index of 1.33, the smallest visible wavelength (approximately 400 nm) is used to calculate the minimum thickness. The discussion highlights the importance of using the smallest wavelength to achieve the minimum thickness necessary for bright reflections. Understanding the range of visible light wavelengths is crucial in this context. Ultimately, the minimum thickness can be calculated using these principles.
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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