Final answer:
The longest wavelength of light in water that is transmitted most easily to the diver is 200 nm.
Step-by-step explanation:
The longest wavelength of light in water that is transmitted most easily to the diver can be determined using the formula:
λwater = λoil / nwater
Where:
- λwater is the longest wavelength of light in water
- λoil is the longest wavelength of light in oil (given as 200 nm)
- nwater is the index of refraction of water (assumed to be 1.0)
Substituting the given values into the formula:
λwater = 200 nm / 1.0 = 200 nm
Therefore, the longest wavelength of light in water that is transmitted most easily to the diver is 200 nm.