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Question about Geometric and Physical Optics: Interference and Diffraction

Physics

Originais Teachy

Geometric and Physical Optics: Interference and Diffraction

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(Originais Teachy 2023) - Question Medium of Physics

During a classroom demonstration on the phenomenon of Newton's Rings, a system composed of a converging lens with a radius of curvature R supported on a flat glass surface is used. The incident light on the system has a wavelength λ, and the students observe the bright and dark rings that form due to the constructive and destructive interference of the light waves. The distance between the lens and the glass surface is denoted by t and varies for each ring. From the values of R, t, and λ for one of the dark rings, calculate the thickness t' for the next dark ring radially outward.
a.
t' = t + (λR)/(4√(2tR - t²))
b.
t' = t - (λR)/(2√(2tR - t²))
c.
t' = t + (λR)/(2√(2tR + t²))
d.
t' = t + (λR)/(2√(2tR - t²))
e.
t' = t - (λR)/(2√(2tR + t²))

Answer:

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