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You want to coat the inner surfaces of your windows (whichhave refractive index

ID: 1950556 • Letter: Y

Question

You want to coat the inner surfaces of your windows (whichhave refractive index of 1.51) with a film in order to enhance thereflection of light back into the room so that you can use bulbs oflower wattage than usual. You find that , with = 1.38, is not too expensive, so youdecide to use it. Since incandescent home lightbulbs emit reddishlight with a peak wavelength of approximately 650 nm, you decide that thiswavelength is the one to enhance in the light reflected back intothe room.


(a) What is the minimum thickness of film thatyou will need?
t= 236 nm

(b) If this layer seems too thin to be able to put on accurately, whatother thicknesses would also work? Give only the three thinnestones

Explanation / Answer

= 650 nm, n = 1.38, find t

2nt = k

t = k/(2n) = k*236 nm

k = 2, t = 471 nm

k = 3, t = 707 nm

k = 4, t = 942 nm

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