C16Worksheet(2) - Chapter 16 Worksheet NOTE The visible...

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Chapter 16 Worksheet NOTE: The visible light spectrum goes from 400 nm (violet) to 750 nm (red) White light strikes a thin film of soap in a soap bubble. Part of the film appears to be green (wavelength λ = 525 nm in air) when viewed by an observer. The thickness of the green portion of the film is later determined to be 100 nm. 1) What is the index of refraction of the soap film? n = 1.31 2) Complete the following table Bright Color Bright Wavelength (in air) Thickness(es) of Film Violet 405 nm 77 nm, 231 nm, 385 nm Blue 455 nm 87 nm, 261 nm, 435 nm Green 525 nm 100 nm, 300 nm, 500 nm Yellow 575 nm 110 nm, 330 nm, 550 nm Orange 610 nm 116 nm, 348 nm, 580 nm Red 690 nm 132 nm, 396 nm, 660 nm 3) Complete the following table Film thickness Wavelength of Bright Light Seen At That Thickness Bright Color 80 nm 419 nm Blue-violet 90 nm 472 nm Blue 100 nm 525 nm Green 110 nm 576 nm Yellow 120 nm 629 nm Red-Orange 130 nm 681 nm Red 140 nm 734 nm Red 150 nm 786 nm Nothing (Infrared) 160 nm 838 nm Nothing (Infrared) A small amount of gasoline leaks out of a Jet-Ski and onto the surface of a lake, forming an “oil slick” (or, more accurately, a “gasoline slick”). The index of refraction of the gasoline is 1.20, while the index of refraction of water is 1.33. 4) For what thicknesses of the oil slick will no bright colors appear to an aerial observer? t < 167 nm, 313 nm < t < 333 nm Violet is first bright at t = 167 nm and red is first bright at t = 313 nm, so no color is bright for thickness smaller than t = 167 nm and a visible color is bright between those values.
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