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In your research lab, a very thin, flat piece of glass with
refractive index 1.40 and uniform thickness covers the opening of a chamber
that holds a gas sample. The refractive indexes of the gases on either
side of the glass are very close to unity. To determine the thickness of
the glass, you shine coherent light of wavelength l0 in vacuum at normal
incidence onto the surface of the glass. When l0 = 496 nm, constructive
interference occurs for light that is reflected at the two surfaces of the
glass. You find that the next shorter wavelength in vacuum for which there
is constructive interference is 386 nm. (a) Use these measurements to calculate
the thickness of the glass. (b) What is the longest wavelength in
vacuum for which there is constructive interference for the reflected light?
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