Problem 2 (a) What is the minimum thickness of a soap bubble film (n = 1.46)on w

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Problem 2
(a) What is the minimum thickness of a soap bubble film (n = 1.46)on which light of wavelength 500 nm
shines so that one observes constructive interference of thereflected light?

(b) A fortuneteller looks through her crystal (n = 1.50)
ball with a 4 cm radius centered at x = 0. An object at
x = -16 cm is viewed from some position down the
positive x-axis. Where does she see the image? Give
the x-coordinate of the image position.

(c) A plastic rectangular solid has dimensions2cm×8cm×10cm. If one
places an eye at the center of the short edge one can see theopposite
edge through one face but not through the other. What does thisimply
about the refractive index of the solid?


The answers are (a) 85.6 nm (b) 9.6 cm (c) 1.28 < n < 1.60.Can someone show me how to get to these? thanks!
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