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What is the condition for constructive interference in a thin film?
What is the condition for constructive interference in a thin film?
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Practice Questions
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Q1
What is the condition for constructive interference in a thin film?
2t = (m + 1/2)λ
2t = mλ
t = mλ/2
t = (m + 1/2)λ/2
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For constructive interference, the condition is 2t = mλ, where t is the thickness of the film and m is an integer.
Questions & Step-by-step Solutions
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Q
Q: What is the condition for constructive interference in a thin film?
Solution:
For constructive interference, the condition is 2t = mλ, where t is the thickness of the film and m is an integer.
Steps: 6
Show Steps
Step 1: Understand that constructive interference happens when two waves combine to make a bigger wave.
Step 2: In a thin film, like soap bubbles, light waves reflect off the top and bottom surfaces.
Step 3: For the waves to combine constructively, they need to be in phase, meaning they align perfectly.
Step 4: The condition for this is given by the formula 2t = mλ.
Step 5: Here, 't' is the thickness of the film, 'm' is an integer (0, 1, 2, ...), and 'λ' is the wavelength of the light.
Step 6: This means that the thickness of the film must be a specific fraction of the wavelength for constructive interference to occur.
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