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White light is incident on water film of...

White light is incident on water film of thickness `1 mu m`. Refractive index of water is 1.33. Which wavelengths in visible region (400 nm to 700 nm) will be strongly reflected by the water film ? Assume air on both sides of the film.

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To solve the problem of determining which wavelengths in the visible region (400 nm to 700 nm) will be strongly reflected by a water film of thickness \(1 \mu m\) (or \(1 \times 10^{-6} m\)) and a refractive index of water \(n = 1.33\), we can follow these steps: ### Step 1: Understand the condition for constructive interference For a thin film, constructive interference occurs when the path difference between the light reflected from the top and bottom surfaces of the film is an integer multiple of the wavelength in the film. The condition for constructive interference is given by: \[ 2nt = (m + \frac{1}{2})\lambda \] ...
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