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Nina [5.8K]
3 years ago
11

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?
Physics
1 answer:
Helen [10]3 years ago
4 0

Answer:

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

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hjlf

Displacement from the center line for minimum intensity is 1.35 mm , width of the slit  is 0.75 so  Wavelength of the light  is 506.25.

<h3>How to find Wavelength of the light?</h3>

When a wave is bent by an obstruction whose dimensions are similar to the wavelength, diffraction is observed. We can disregard the effects of extremes because the Fraunhofer diffraction is the most straightforward scenario and the obstacle is a long, narrow slit.

This is a straightforward situation in which we can apply the

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Solving for λ

λ = y + a/ mD

Changing the information that the issue has provided:

λ = 1.35 * 10^-3 + 0.75 * 10^-3 / 1*2  

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Wavelength of the light 506.25.

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brainly.com/question/15413360

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