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22 October, 21:34

A technician places a fluid substance, with a refractive index of 1.61, between two horizontal panes of flat glass (each of which has n = 1.45). She then illuminates the assembly from above with monochromatic light (λ = 330 nm). What is the minimum thickness (in nm) that the liquid layer must have, if the light is to be strongly reflected back toward its source?

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  1. 22 October, 21:55
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    the minimum thickness (in nm) t = 102.5 nm

    Explanation:

    t = thickness of the film

    n = index of refraction = 1.61

    m = order = 1

    ∝ = wavelength = 330 x 10-9 m

    so we have the formula

    2nt = m∝

    2 (1.61) t = (1) (330 x 10-9)

    then ...

    t = 1.025 x 10-7 m

    converting ...

    t = 102.5 nm
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