While washing dishes one evening, you admire the swirling colors visible in the soap bubbles. You hold up a cup and peer into its soap‑covered mouth. As you hold the cup still and examine it in the light of a lamp behind you, you notice that the colors begin to form horizontal bands, as in the figure. You observe that the film appears black near the top, with stripes of color below. Approximately how thick is the film of soap in the reddish region of the second stripe indicated? Assume that the film is nearly perpendicular both to your line of sight and to the light rays from the lamp. For simplicity, assume that the region specified corresponds to the second maximum of the intensity of reflected red light with a 645 nm wavelength. The index of refraction of the soap film is 1.34.

Q: Snell's Law and the Law of Reflection explain how light is redirected when it encounters a surface…

A: Refractive index of air nair=1.0003 Refractive index of crown glass ncg=1.52 Refractive index of…

Q: The figure below shows two luminous rays, 1 and 2, which are initially in phase and reflected on…

A: Solution: a) The distance traveled by the ray 1 is L1 = 5 d The distance traveled by the ray 2 is L2…

Q: with stripes of color below. Second stripe Approximately how thick is the film of soap in the…

A: Given :n=1.34λ= 645nm  =645 x 10-9 mm=3

Q: A 5.4 cm -thick layer of oil (n=1.46) is sandwiched between a 1.4 cm -thick sheet of glass and a 2.4…

A: Thickness of the layer of oil (to)=5 cm" data-mce-style="box-sizing: inherit; display:…

Q: Snell's Law and the Law of Reflection explain how light is redirected when it encounters a surface…

A:

Q: In a Michelson interferometer, a laser beam is split into two beams as shown in the figure. When the…

A:

Q: We have all seen colorful soap bubbles (I hope) as children. The interesting patterns of color that…

A: When a light  falls on soap film some part of it is refected while some part is transmitted.…

Q: Light is incident at an angle (q) of 20° on a stack of materials with different indices of…

A:

Q: The data on a CD is stored as a series of pits in a spiral track on a metal information layer (see…

A:

Q: White light passes through a 15.0-cm-thick, silicate flint, glass slab with opposite, smooth,…

A: Given light passes through a 15.0-cm-thick angle between white light and normal =38° index of…

Q: A ray of light is incident on the left vertical face of a glass cube of refractive index n2, as…

A: Use Snell's law  n1 Sin i = n2 Sin r

Q: O O O O Two light beams are incident normal to one surface of a triangular prism with refractive…

A: Here we have to apply Snell's law here.

Q: The diagram below shows light incident at an angle of 30° at a transparent rectangular slab made of…

A: (a)

Q: An optical doublet is formed from two lenses A, B made of glass of different refractive indices…

A:

Q: A narrow beam of light containing red (660 nm) and blue (470 nm) wavelengths travels from air…

A: Given that: Angle of incidence: i=29°Thickness, t=1.20 cmWavelength of red: λR=660 nmWavelength of…

Q: Suppose you are outside watching the sunset. The sky is mostly clear except for a few puffy clouds…

A:

Q: A rainbow ordinarily shows a range of colors. But if the water droplets that form the rainbow are…

A:

Q: Light is incident from air (n, = 1.0) into the water of an aquarium (n3 = 1.33) by passing through…

A:

Q: While washing dishes one evening, you admire the swirling colors visible in the soap bubbles. You…

A:

Q: A light ray is incident onto the interface between air (n = 1) and glass (n2 = v3) at 45° with…

A: The expression for the snell's law is given as  n1sini = n2sinr

Q: beam of light is traveling in a large chunk of transparent plastic and strikes the smooth inner…

A: Concept used: When light travels from denser to rarer medium, it reflects back to same medium . This…

Q: n = 1.60 n = 1.40 n 3= 1.20 n = 1.00 4. Using the same figure above, show that the incident angle e1…

A:

Q: The brilliant blue color of a blue morpho butterfly is, like the colors of peacock feathers, due to…

A: Interference of light is a phenomenon when the light waves meeting at a point superposed to form…

Q: The photo is a microscopic look at the surface of a reflective compact disk (CD), circa 2004. The…

A: The spectrum of color in Compact Disk is due to

Q: While washing dishes one evening, you admire the swirling colors visible in the soap bubbles. You…

A: Given Region correspond to third maximum of intensity Wavelength of reflected red light (λ)= 645 nm…

Q: Impressionist painter Georges Seurat created paintings with an enormous number of dots of pure…

A: Given: The diameter of the pupil is D = 4.5 mm The wavelength of the light is 420 nm The diameter of…

Q: Light is incident at an angle (q) of 20° on a stack of materials with different indices of…

A: Here we use Snell's law to get the required values.

Q: A small coin is resting at the bottom of a swimming pool. Draw a ray diagram of the situation,…

A: When light ray encounters a boundary between 2 transparent media, a reflected ray and a refracted…

Q: A light ray is incident onto the interface between ai (no = 1 and glass (n = v3 at 45° with respect…

A: Required : In which interface the light will go total internal reflection.

Q: A transparency as shown is located in the x,y plane at z=0. If the transparency is illuminated with…

A: Explanation given below.Explanation:Explanation-:When the monochromatic plane wave illuminates the…

Q: Sometimes you can see the 'rainbow' in a thin layer of oil on the ground. Explain why this happens.…

A: The rainbow pattern is due to the interference due reflection of light from the two ends of the…

Q: A liquid with refraction index, n =1.63, is poured into a glass container withn = 1.52. The incident…

A: refractive index of liquid n1= 1.63 refractive index of glass n2 = 1.52 angle of incidence is 65…

Q: (a) A narrow beam of light containing yellow (580 nm) and green (550 nm) wavelengths goes from…

A: Given: The wavelength of yellow light is 580 nm. The wavelength of green light is 550 nm. The…

Q: what is emergent angle ??????????

A: Where   i - incident angle  r - emergent angle  u1 - refractive index of air  u2 - refractive index…

Q: As shown in the figure below, two transparent polycarbonate plates, each 19.0 cm long, touch each…

A: given: length l =19 cm = 0.19 m d = 0.058 mm =0.058*10-3 m

Q: Law of Reflection

A: We usually talk about refraction when the surface is smooth. But it is also possible for curved…

Q: find the shift in path Ax:

A:

Q: Chapter 25: Problem 7: Consider the situation in the figure - a student diver in a pool and an…

A: a) height = 2.787mb) depth = 2.878mExplanation:

Q: There is a glass container filled with three material interfaces stacked together (n1 = 1.00 ,…

A: Given: Three material with the refractive index of n=1, nturpentine oil= 1.47, nethyl alcohol= 1.36…

Dispersion of White Light

Snell’s law is a formula that gives a relation between the angle of incidence and angle of refraction and is given as: