Question

Light of wavelength 475 nm is incident normally on a film of water 10-4 cm thick....


Light of wavelength 475 nm is incident normally on a film of water 10-4 cm thick. The index of refraction of water is 1.33.

a. What is the wavelength of the light in the water?

b. How many wavelengths are contained in the distance 2t, where t is the thickness of the film? (Do not round your answer to a whole number.)

c. What is the phase difference between the wave reflected from the top of the air-water interface and the one reflected from the bottom of the water-air interface after it has traveled this distance? (in Rad)

Homework Answers

Answer #1

light wave length = 475 nm

index of refraction of water is 1.33

a)  wavelength of the light in the water = 475nm *(1/1.33) = 357.14 nm = 357.14*10-9 m

b) thickness of water film ,t = 10-4 cm = 10-6 m

distance travelled = 2t =2*10-6 m

no of wavelngths =  2*10-6 m / 357.14*10-9 m = 5.6 wavelengths

c) light is travelling from low index of refraction (1) of air to high index of refraction (1.33) of water, so the reflected wave is out of phase by pi radians.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A 720 nm thick oil film floats on a plastic plate. White light incident from air...
A 720 nm thick oil film floats on a plastic plate. White light incident from air strikes the film at normal incidence. What visible wavelengths will be constructively reflected from the film? Take the wavelength of visible light in air to be from 400 nm to 700 nm. The index of refraction of the plate is 1.47 and that of the film is 1.60.
A pool of water is covered with a film of oil which is 256 nm thick....
A pool of water is covered with a film of oil which is 256 nm thick. For what wavelength of visible light (in air) will the reflected light constructively interfere? The index of refraction of the oil is 1.65. Visible light (in air) has wavelengths between 430 nm (blue) and 770 nm (red) in air. Assume that the incident light is normal to the surface of the oil.
A uniform film of TiO2, 1036 nm thick and having index of refraction 2.62, is spread...
A uniform film of TiO2, 1036 nm thick and having index of refraction 2.62, is spread uniformly over the surface of crown glass of refractive index 1.52. Light of wavelength 545 nm falls at normal incidence onto the film from air. You want to increase the thickness of this film so that the reflected light cancels. (B)After you make the adjustment in part (a), what is the path difference between the light reflected off the top of the film and...
White light is incident on a soap film (n = 1.33, thickness = 937.0 nm )...
White light is incident on a soap film (n = 1.33, thickness = 937.0 nm ) suspended in air. If the incident light makes a 45 ? angle with the normal to the film, what visible wavelength(s) will be constructively reflected?
Wave Optics – Thin Films A thin film 4.0X10-5cm thick interfaces with air (n=1) on each...
Wave Optics – Thin Films A thin film 4.0X10-5cm thick interfaces with air (n=1) on each its front and back surfaces and is illuminated by white light normal to its front surface. Its index of refraction is 1.5. What wavelengths within the visible spectrum will be intensified in the reflected beam? (visible light is taken to be wavelengths between 390 to 700 nm) Follow the solution outline below: Sketch the situation and label the index of refraction on each side...
Light with wavelength 700 nm travels through a vacuum (n=1). It is normally incident upon a...
Light with wavelength 700 nm travels through a vacuum (n=1). It is normally incident upon a thin layer of water (n=1.33), which rests upon a thick layer of glass (n=1.5). a) What is the minimum thickness of water needed to minimize the light reflected from the water? b) What is the minimum thickness of water needed to maximize the reflected light?
Red light with wavelength 600[nm] is incident from air (n = 1.0) onto a thin film...
Red light with wavelength 600[nm] is incident from air (n = 1.0) onto a thin film of index n = 1.5. The thin film coats a thick slab of material which has index n = 2.0.   1: For what minimum film thickness would the thin film produce no significant overall reflection due to destructive interference? 2: Did the reflections off of those two interfaces have the same phase change (both 0º or both 180º)? Or did the reflections off of...
A film with an index of refraction n= 1.39 floats on top of water (n=1.01). A...
A film with an index of refraction n= 1.39 floats on top of water (n=1.01). A light beam with wavelength 300 nm is reflected from the top and the bottom of the film. What are the phase changes from the top and bottom reflection Please show detailed work
A soap film (n=1.33) is 785 nm thick. White light strikes the film at normal incidence....
A soap film (n=1.33) is 785 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.
When white light illuminates an oil film on water and the reflected light is viewed perpendicular...
When white light illuminates an oil film on water and the reflected light is viewed perpendicular to the surface of the water, no green light at 548 nm is reflected but there is a strong presence of red light with a wavelength of 685 nm. Determine the thickness of the oil film. Take the index of refraction of oil to be 1.28.