B) A rhinestone is made from glass with a refractive index of 1.50. In order to make it more reflective, it is coated with a layer of silicon oxide with an index of refraction of 2.50. (i) Determine the minimum coating thickness needed to ensure that light of wavelength 680 nm and of perpendicular incidence will be reflected from the two surfaces of the coating with fully constructive interference?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter27: Wave Optics
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B) A rhinestone is made from glass with a refractive index of 1.50. In order to make it more
reflective, it is coated with a layer of silicon oxide with an index of refraction of 2.50.
(i) Determine the minimum coating thickness needed to ensure that light of wavelength 680
nm and of perpendicular incidence will be reflected from the two surfaces of the coating
with fully constructive interference?
(ii) Light with wavelength 600 nm is incident on a double-slit system with slit separation of
0.3 mm (Figure 4). Determine the distance from the slits should a screen be placed for the
first dark fringe on either side of the central interference maximum to appear on the screen
directly opposite the two slits?
I
Figure 4.
Screen
Dark fringe
Dark fringe
Transcribed Image Text:B) A rhinestone is made from glass with a refractive index of 1.50. In order to make it more reflective, it is coated with a layer of silicon oxide with an index of refraction of 2.50. (i) Determine the minimum coating thickness needed to ensure that light of wavelength 680 nm and of perpendicular incidence will be reflected from the two surfaces of the coating with fully constructive interference? (ii) Light with wavelength 600 nm is incident on a double-slit system with slit separation of 0.3 mm (Figure 4). Determine the distance from the slits should a screen be placed for the first dark fringe on either side of the central interference maximum to appear on the screen directly opposite the two slits? I Figure 4. Screen Dark fringe Dark fringe
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