Q. In a thin film of oil on water, if the thickness of the film is 0.1 mm and the wavelength of light in air is 600 nm, what is the condition for constructive interference?
A.2t = (m + 0.5)λ
B.2t = mλ
C.2t = (m + 1)λ
D.2t = mλ/2
Solution
For constructive interference in a thin film with a denser medium below, the condition is 2t = mλ.
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?
A.400 nm
B.600 nm
C.800 nm
D.1000 nm
Solution
Wavelength in the film λ' = λ/n. If λ = 900 nm, then λ' = 900 nm / 1.5 = 600 nm.
Q. In a thin film of oil on water, if the thickness of the film is 500 nm, what is the condition for destructive interference for light of wavelength 600 nm in air?
A.2t = (m + 1/2)λ
B.2t = mλ
C.t = (m + 1/2)λ
D.t = mλ/2
Solution
For destructive interference in a thin film, the condition is 2t = (m + 1/2)λ, where m is an integer.
Q. In a thin film of oil on water, if the thickness of the oil film is 0.5 μm and the wavelength of light in air is 600 nm, what is the wavelength of light in the oil?
A.400 nm
B.500 nm
C.600 nm
D.700 nm
Solution
Wavelength in oil = λ/n, where n is the refractive index of oil. Assuming n = 1.5, λ_oil = 600 nm / 1.5 = 400 nm.
Q. In a thin film of oil on water, which color is most likely to be seen at normal incidence?
A.Red
B.Blue
C.Green
D.Yellow
Solution
The color seen depends on the thickness of the film and the wavelength of light. Typically, red is seen due to constructive interference for certain thicknesses.
Q. In a thin film of oil on water, which color of light will be most prominently reflected if the film thickness is such that it causes constructive interference?
A.Red
B.Green
C.Blue
D.Yellow
Solution
The color that is most prominently reflected depends on the thickness of the film and the wavelength of light. Typically, shorter wavelengths (like blue) are more affected by thin films.
Q. In a thin film of oil on water, which color will appear at the center of the pattern if the film thickness is such that the path difference is λ?
A.Red
B.Blue
C.Green
D.Yellow
Solution
At the center, where the path difference is λ, constructive interference occurs, and the color that appears depends on the wavelength of light, typically red for thin films.
Q. In a thin film of oil on water, which color will appear at the topmost layer if the film thickness is such that it causes constructive interference for blue light?
A.Red
B.Green
C.Blue
D.Yellow
Solution
If the film thickness causes constructive interference for blue light, blue will be the color that appears at the topmost layer.
Q. In a thin film of oil on water, which color will appear at the topmost layer if the thickness of the film is such that it causes constructive interference for blue light?
A.Red
B.Green
C.Blue
D.Yellow
Solution
If the film thickness causes constructive interference for blue light, blue will be the color that appears most prominently.
Q. In a thin film of oil on water, which color will appear at the topmost layer if the film is of thickness comparable to the wavelength of blue light?
A.Red
B.Green
C.Blue
D.Yellow
Solution
The color that appears depends on the thickness of the film and the wavelength of light. Blue light has a shorter wavelength and will be more prominently reflected.
Q. In a thin film of oil on water, which color will appear at the topmost layer when viewed from above?
A.Red
B.Blue
C.Green
D.Yellow
Solution
The color that appears depends on the thickness of the film and the wavelength of light. Typically, red light is least affected by thin film interference.
Q. In a thin film of oil on water, which color will be most prominently visible due to constructive interference?
A.Red
B.Blue
C.Green
D.Yellow
Solution
The color that is most prominently visible depends on the thickness of the film and the wavelength of light. Typically, shorter wavelengths like blue are enhanced due to constructive interference.