In a thin film of oil on water, if the thickness of the film is 200 nm and the refractive index of oil is 1.5, what is the wavelength of light in the film?
Practice Questions
1 question
Q1
In a thin film of oil on water, if the thickness of the film is 200 nm and the refractive index of oil is 1.5, what is the wavelength of light in the film?
400 nm
600 nm
800 nm
1000 nm
Wavelength in the film λ' = λ/n. If λ = 900 nm, then λ' = 900 nm / 1.5 = 600 nm.
Questions & Step-by-step Solutions
1 item
Q
Q: In a thin film of oil on water, if the thickness of the film is 200 nm and the refractive index of oil is 1.5, what is the wavelength of light in the film?
Solution: Wavelength in the film λ' = λ/n. If λ = 900 nm, then λ' = 900 nm / 1.5 = 600 nm.
Steps: 6
Step 1: Identify the given information. We have the thickness of the oil film (200 nm) and the refractive index of oil (1.5).
Step 2: Understand the formula for the wavelength of light in a medium. The formula is λ' = λ / n, where λ' is the wavelength in the medium, λ is the wavelength in a vacuum, and n is the refractive index.
Step 3: Determine the wavelength of light in a vacuum. In this case, we are given λ = 900 nm.
Step 4: Plug the values into the formula. Substitute λ = 900 nm and n = 1.5 into the formula: λ' = 900 nm / 1.5.
Step 5: Perform the calculation. Divide 900 nm by 1.5 to get λ' = 600 nm.
Step 6: Conclude that the wavelength of light in the oil film is 600 nm.
