Astronomers Observe The Chromo

Astronomers observe the chromo sphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the H1 line. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is held at a constant temperature.
(a) Find the minimum value of d that produces maximum transmission of perpendicular H1 light, if the dielectric has an index of refraction of 1.378.
(b) What If? If the temperature of the filter increases above the normal value, what happens to the transmitted wavelength? (Its index of refraction does not change significantly.)
(c) The dielectric will also pass what near visible wavelength? One of the glass plates is colored red to absorb this light.

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