A thin film with a thickness of 460 nm is sandwiched between air and glass with refractive index of 1.56 as shown in Figure 4 below. The thin film is illuminated with a beam of white light which is perpendicular to the film and consists of the full range of wavelength for the visible spectrum. air n glass Figure 4 (a) For reflective interference, light with a wavelength of 650 nm undergoes fully constructive interference. Find the refractive index n of the film. (Assume the refraction index n is between 1 and 2.) (b) At what visible wavelength does the reflected light undergo fully destructive interference.

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A thin film with a thickness of 460 nm is sandwiched between air and glass with refractive index
of 1.56 as shown in Figure 4 below. The thin film is illuminated with a beam of white light which
is perpendicular to the film and consists of the full range of wavelength for the visible spectrum.
air
n
glass
Figure 4
(a)
For reflective interference, light with a wavelength of 650 nm undergoes fully constructive
interference. Find the refractive index n of the film. (Assume the refraction index n is
between 1 and 2.)
(b)
At what visible wavelength does the reflected light undergo fully destructive interference.
Transcribed Image Text:A thin film with a thickness of 460 nm is sandwiched between air and glass with refractive index of 1.56 as shown in Figure 4 below. The thin film is illuminated with a beam of white light which is perpendicular to the film and consists of the full range of wavelength for the visible spectrum. air n glass Figure 4 (a) For reflective interference, light with a wavelength of 650 nm undergoes fully constructive interference. Find the refractive index n of the film. (Assume the refraction index n is between 1 and 2.) (b) At what visible wavelength does the reflected light undergo fully destructive interference.
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