Thin Film Interference: Finding m Value

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In thin film interference, the value of m in the equations for destructive and constructive interference is determined by the specific problem being addressed. Some scenarios allow for multiple valid m values, necessitating a list of possible solutions. However, certain constraints, such as requiring the wavelength to fall within the visible spectrum (400 to 700 nm), can limit acceptable m values. Understanding the context of the problem is crucial for accurately determining m. Properly identifying these parameters is essential for solving thin film interference problems effectively.
LamyJamy
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For thin film interference, I was wondering how you know what the value of m is for the equations:
2nt/λ=m (destructive)
2nt/λ -1/2=m (constructive)
 
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It depends on the problem you're trying to solve. In some problems, all values of m give valid solutions, so you have to give a list of possible solutions. In other problems, there are constraints that restrict the acceptable values of m. For example, it might be required that the wavelength be within the visible range (about 400 to 700 nm).
 

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