The Floating Soap Film Thickness Gauge · AI Generator #GEN-064A134A
Physics · optics
Problem
A soap film is suspended vertically in a wire frame and illuminated from behind with white light. Due to gravity, the film forms a wedge shape that is thickest at the bottom. When viewed from the front, horizontal interference fringes are visible due to the varying thickness.
A scientist observes that when using monochromatic light of wavelength λ=550nm, there are exactly N=12 dark fringes visible over a vertical distance of h=8.0mm. The refractive index of the soap film is n=1.33.
What is the difference in thickness between the top and bottom of the observed region?