4) An oil film ( n = 1.58)floating on water is illuminated by white light at nor

Question

4) An oil film (n = 1.58)floating on water is illuminated by white light at normalincidence. The film is 286 nm thick. (a) Find the wavelength of visible light moststrongly reflected.
nm
Explain your reasoning.

(b) Find the wavelength of visible light moststrongly transmitted.
nm
Explain your reasoning.
(a) Find the wavelength of visible light moststrongly reflected.
nm
Explain your reasoning.

(b) Find the wavelength of visible light moststrongly transmitted.
nm
Explain your reasoning.

Explanation / Answer

n = 1.58, t = 286 nm, nair = 1, nwater =1.33 note n > nwater > nair path difference for reflected light = 2nt + /2 a) reflected light has construction interference. =k 2nt + /2 = k = 4nt/(2k - 1) = 1807.5/(2k - 1) nm for k = 1, = 1807.5 nm (invisible) k = 2, = 602.5 nm(visible)

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