- #1

- 47

- 0

Now assume that the oil had a thickness of 200 nm and an index of refraction of 1.5. A diver swimming underneath the oil slick is looking at the same spot as the scientist with the spectrometer.

**What is the longest wavelength of the light in water that is transmitted most easily to the diver?**

air n = 1

---------------

oil n = 1.5

---------------

water n = 1.33

---------------

t = 200 nm, there is 1 phase change in this problem and we want constructive interference

2t = (m + .5)(lambda of oil / n of oil)

When I solve for lambda of oil I get 1200 nm.

Then I use (lambda of oil)(n of oil) = (lambda of water)(n of water)

When I solved for the wavelength in water I got 1353 nm. The correct answer is 451 nm, and I am not sure what I am doing wrong.

Thanks in advance.