s Convert JPG to PDFNike. ust Do It. Nik Car parts School mail D CANVAS The tabl

Question

s Convert JPG to PDFNike. ust Do It. Nik Car parts School mail D CANVAS The table lists the range of wavelengths in vacuum corresponding to a given color. If white light illuminates a thin film that has a refractive index of 1.48 (deposited on a glass with index of refraction 1.55) and a minimum thickness of 84.46 nm, which color missing from the light reflected from the film? Color red orange yellow green blue violet Wavelength (om) 780-622 622-597 597-577 577-492 492 -455 455-390 rd blue O red O yellow o green violet

Explanation / Answer

for the given data
refractive index of medium 1, n1 = 1.48
refractive index of medium 2, n2 = 1.55
thickness, minimum, t1 = 84.46 nm

hecne for destructive interference
the path difference of the two rays reflected off the first interface and the second interface will be n*lambda ( as there is phase shift on relection in the second interface)

hence
path difference = p = 2n1*t1
hence
2n1*t1 = n*lambda
hence for n = 1
lambda = 250 nm

this is lower than any wavelength in visible spectrum hence the first laer will have more thickness and the color missing will be violet
opiton e)

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