White light falls in, near the normal direction, against a thin oil film lying on a...

White light falls in, near the normal direction, against a thin oil film lying on a glass plate. Two colors with wavelengths of 525nm and 650nm clearly dominate the reflected light. Assume that the refractive index of the oil is 1.25 and the refractive index of the glass is 1.5.

Determine the thickness of the film and the order of interference for the dominant colors.

Expert Solution

As, no other wavelength was observed only two constructive waves are made.

Step 1:

for thin films the interference formula is used as below,

but before that one must understand that when a wave travels from rare medium to denser medium it undergoes 180⁰ phase shift. This, happens here two times.

first when wave travels from air to oil surface

and from oil to glass surface.

so, each time a phase shift of 180⁰ or happens. (Shown in figure)

Wave travelling in oil has to go extra distance..

hence, only the next wave will be coming after the first as only these two out of other are dominating.

we get after further solvingHence, the thickness of film is 6.72 x 10^-7 m and order of interference is 3.7.

genius_generous answered 2 years ago

A thin film suspended in air is 0.400 µm thick and is illuminated with white light...

A thin film suspended in air is 0.400 µm thick and is illuminated with white light incident perpendicularly on its surface. The index of refraction of the film is 1.58. At what wavelength will visible light that is reflected from the two surfaces of the film undergo fully constructive interference?

A soap film (n=1.33) is 772 nm thick. White light strikes the film at normal incidence....

A soap film (n=1.33) is 772 nm thick. White light strikes the film at normal incidence. What visible wavelengths will be constructively reflected if the film is surrounded by air on both sides? If there is more than one answer, separate them by a comma.

An oil film (n = 1.45) floating on the surface of water has white light incident...

An oil film (n = 1.45) floating on the surface of water has white light incident on it at normal angle of incidence (i.e. perpendicular to the film). The film is 280 nm thick. For this problem, you will need to know that the visible spectrum consists of wavelengths of light from 400 to 700 nm. (a) What type of reflection (hard or soft) occurs at the air-oil interface, and what type of reflection (hard or soft) occurs at the...

Water (n=1.33) in a shallow pan is covered by a thin film of oil that is...

Water (n=1.33) in a shallow pan is covered by a thin film of oil that is 450 nm thick and has an index of refraction of 1.45. What visible wavelengths will not be present in the reflected light when the pan is illuminated with white light shining from directly above the pan? Please include a diagram and all relevant equations!

Orange light of 600 nm and violet of 360 nm are illuminating the thin film of...

Orange light of 600 nm and violet of 360 nm are illuminating the thin film of index of refraction 1.2, which is surrounded by air. Next several questions will be about this particular film. 1. The minimum thickness of the film providing maximum reflection for both these wavelengths is equal to Group of answer choices three quarters of wavelength of orange light in the film five quarters of wavelength of orange light in the film three quarters of wavelength of...

1.) What is the wavelength of light with constructive interference reflected from a thin film in...

1.) What is the wavelength of light with constructive interference reflected from a thin film in a vacuum, with an index of refraction 1.37, a thickness of 4.00*10^-9 m; which is the minimum thickness necessary? A.) 2.19*10^-8 B.)1.10*10^-8 C.) 5.84*10^-9 D.) 2.74*10^-9 2.) Two identical EM wave sources emit waves with frequency of 7.84*10^5 Hz. The waves are propagating in air. A detector captures minimum signal at 5984 m away from source 1. What is the distance from the detector...

a) Monochromatic light of variable wavelength is incident normally on a thin sheet of plastic film...

a) Monochromatic light of variable wavelength is incident normally on a thin sheet of plastic film in air. The reflected light is a maximum only for 487.9 nm and 683.0 nm in the visible spectrum. What is the minimum thickness of the film (n=1.58)? t = _________ nm b) A planoconvex lucite lens 3.6 cm in diameter is placed on a flat piece of glass as in the figure 34-18 in the textbook. When 600 −nm light is incident normally,...

A thin film of oil (n = 1.4) of thickness 1.4micrometers. is compressed between two glass...

A thin film of oil (n = 1.4) of thickness 1.4micrometers. is compressed between two glass slabs (n = 1.5). White light containing wavelengths from 400 to 700nm (measured in air) is incident normally on the film. In the reflected light, which wavelengths (from long to short)are a) missing (4 of them) and b) enhanced (4 of them)

A thin film of oil (n = 1.28) is located on smooth, wet pavement. When viewed...

A thin film of oil (n = 1.28) is located on smooth, wet pavement. When viewed from a direction perpendicular to the pavement, the film reflects most strongly red light at 640 nm and reflects no light at 427 nm. What is the minimum thickness of the oil film? nm

Derive an expression for the minimum and maximum intensity when light reflects from a thin film

Question