Question

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

Answer 1

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.

Answer 2

The longest wavelength of light that is transmitted most easily to a diver swimming underneath an oil slick with a thickness of 200 nm and an index of refraction of 1.5 is 313.33 nm.

Step-by-step explanation:

When light passes from one medium to another, it can change direction and speed. This change in speed is determined by the index of refraction of the media. The longest wavelength of light that is transmitted most easily to the diver can be found using the formula:

wavelength_water = wavelength_air / n_water

Substituting the values given: wavelength_water = 470 nm / 1.5 = 313.33 nm.