In a thin film of oil on water, which color will appear at the center of the fil

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Question: In a thin film of oil on water, which color will appear at the center of the film if the oil has a thickness of λ/2?

Options:

Correct Answer: No color

Solution:

At the center of the film with thickness λ/2, destructive interference occurs for all wavelengths, leading to no color.

In a thin film of oil on water, which color will appear at the center of the film if the oil has a thickness of λ/2?

In a thin film of oil on water, which color will appear at the center of the film if the oil has a thickness of λ/2?

Step 1: Understand that a thin film of oil on water can create colors due to interference of light.
Step 2: Know that the thickness of the oil film is given as λ/2, where λ is the wavelength of light.
Step 3: Recognize that when light reflects off the top and bottom surfaces of the oil film, it can interfere with itself.
Step 4: Identify that destructive interference occurs when the path difference between the two reflected light waves is equal to half a wavelength (λ/2).
Step 5: Since the thickness of the oil film is λ/2, this means that destructive interference will happen for all wavelengths of visible light.
Step 6: Conclude that at the center of the film, where destructive interference occurs, no color will be visible.

Thin Film Interference – The phenomenon where light waves reflected from the top and bottom surfaces of a thin film interfere with each other, leading to constructive or destructive interference depending on the film's thickness and the wavelength of light.
Destructive Interference – Occurs when two waves combine in such a way that their amplitudes cancel each other out, resulting in a reduction or elimination of light at certain wavelengths.