Problem 4: A soap film has a refractive index of 1.40. How thick must the film be if it appears black when mercury light of wavelength 546.1 nm falls on it normally?

Solution

Given data

Refractive index = 1.40

Incident wavelength = 546.1 * 10^{-9} m

Required

Thickness of the film = x =?

Theory Since the reflected beam of light from the inner surface passes the soap film thickness twice, therefore, the path difference = 2x … (1)

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