Consider a thin film of of soapy water (n = 1.33) on Plexiglas. Since light is a

Question

Consider a thin film of of soapy water (n = 1.33) on Plexiglas. Since light is a wave, there are many thicknesses of this film that will result in constructive interference. Part (a) What is the smallest non-zero thicknesses of this film if it appears green (constructively reflecting 505 nm light) when illuminated perpendicularly by white light? Part (b) What is the sccond smallest non-zero thicknesses of this film if it appears green (constructively reflecting 505 nm light) when illuminated perpendicularly by white light? Part (c) What is the third smallest non-zero thicknesses of this film if it appears green (constructively reflecting 505 nm light) when illuminated perpendicularly by white light?

Explanation / Answer

part b)

2nt = 3/2 x wavelength ( for second maximum)

2x1.33xt = 1.5x505

t =284.77nm

c)

2x1.33x t = 5/2 x wavelength ( for third maximum)

t = 474.62 nm

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