Question

Looking straight downward into a rain puddle whose surface is covered with a thin film of gasoline. you notice a swirlingpattern of colors caused by interference inside the gasoline film. The point directly beneath you is colored a beautifuliridescent green. You happen to remember that the index of refraction of gasoline is 1.38 and that the wavelength of greenlight is about 540 nm. What is the minimum possible thickness of the gasoline layer directly beneath you?

Answer 1

Step-by-step explanation:

In case of colored film we apply the theory of interference.

Condition that colored fringe is formed ( constructive interference)

2μt = λ/ 2 ( minimum order)

t = λ/ 4μ

= 540 / 4 x 1.38

= 97.83 nm