A soap bubble spans a square wire frame. The bubble has an index of refraction n = 1.33. (It's mostly water.) The bubble is very thin at the top and gets steadily thicker as you go down. You are looking at white light reflected rom the bubble. The bubble is dark at the top, and below this there are repeating rainbows of color. (Only the first one is shown, and, in reality, things aren't so uniform.) In all cases in this problem, consider only normal incidence of the light. a) Why is it dark at the top? (Note: this is also a hint for next part.) b) What is the thickness t of the bubble at the first red stripe from the top? Take red light to have Lamfa= 650 nm in air. Show your work.

A soap bubble spans a square wire frame. The bubble has an index of refraction n = 1.33. (It's mostly water.) The bubble is very thin at the top and gets steadily thicker as you go down. You are looking at white light reflected rom the bubble. The bubble is dark at the top, and below this there are repeating rainbows of color. (Only the first one is shown, and, in reality, things aren't so uniform.) In all cases in this problem, consider only normal incidence of the light. a) Why is it dark at the top? (Note: this is also a hint for next part.) b) What is the thickness t of the bubble at the first red stripe from the top? Take red light to have Lamfa= 650 nm in air. Show your work.

Similar questions

White light originates in water (n = 1.33) and then passes through crown glass, which has mild dispersion behavior (nred = 1.52, nviolet = 1.53). What initial angle above the horizontal in water would be required for the glass to refract red light but internally reflect the violet light? Assume the glass is in contact with air above it. What would be the angle of refraction for red light at the glass-air interface? Air Glass Water
White light passes through a 15.0-cm-thick, silicate flint, glass slab with opposite, smooth, parallel surfaces as shown in the diagram below. The angle of incidence of the white light at the top surface is 38.0○ For this type of glass, the index of refraction of red light at 700 nm is 1.625, and the index of refraction for violet light at 400 nm is 1.660. Find the width of the spectrum of light along the surface at the bottom of the slab.
A beam of light is incident on a hemispherical prism at an angle, theta, as shown in the figure. If the index of refraction of the prism is 1.60, what is the critical angle (in degrees) for no transmitted light out of the bottom of the prism? Assume the index of refraction for air is 1.00 and the index of refraction for the water is 1.33.
A goldfish is swimming inside a spherical bowl of water having an index of refraction n = 1.333. Suppose the goldfish is p 10.4 cm from the wall of a bowl of radius |R| = 15.8 cm, as in the figure below. Neglecting the refraction of light caused by the wall of the bowl, determine the apparent distance of the goldfish from the wall according to an observer outside the bowl. 1.07 Your response differs from the correct answer by more than 10%. Double check your calculations. cm behind the glass
In the figure, a light ray in air is incident on a flat layer of material 2 that has an index of refraction n₂ = 2.7. Beneath material 2 is material 3 with an index of refraction n3. The ray is incident on the air-material 2 interface at the Brewster angle for that interface. The ray of light refracted into material 3 happens to be incident on the material 2-material 3 interface at the Brewster angle for that interface. What is the value of n3? Number Units 09₂ Air ng ng
In the figure, two light pulses are sent through layers of plastic with thicknesses of either L or 2L as shown and indexes of refraction n1 = 1.58, n2 = 1.74, n3 = 1.62, n4 = 1.51, n5 = 1.67, n6 = 1.72, and n7 = 1.52. (a) Which pulse travels through the plastic in greater time? (b) What multiple of L/c gives the difference in the traversal times of the pulses? -- Pulse ng Pulse 1 (a) Number Units (b) Number Units
You are working in a laser laboratory, assisting with an experiment involving gas lasers. Your supervisor explains that the ends of the glass tube containing the lasing gas are sealed with Brewster windows. as shown such a window at one end of a glass laser tube. The laser light reflectedfrom the first surface is shown as the dashed line in the figure, and is completely polarized parallel to the plane of the surface (perpendicular to the page). The light that transmits into the Brewster window and then out the opposite side is partially polarized parallel to the page. (a) Your supervisor asks you to determine the angle θ that a Brewster windowmade from ZnSe (n = 2.67) must make with the horizontal for these conditions to be satisfied. The index of refraction of the gas in the tube is 1.00. (b) After you report your angle to your supervisor, he says that he has seen a possible problem—what about the reflection at the second surface,as the beam leaves the Brewster window? He is afraid…
White light is incident onto a 30° prism at the 40° angle shown in the figure. Violet light emerges perpendicular to the rear face of the prism. The index of refraction of violet light in this glass is 2.0% larger than the index of refraction of red light. (Figure 1) Figure White light 40⁰ 30° 1 of 1 Part A At what angle does red light emerge from the rear face? Express your answer with the appropriate units. 6 = ☐ O μA Value Submit Request Answer < Return to Assignment Units Provide Feedback ?
A beam of light is incident on a square piece of glass with side s = 10.0 cm and index of refraction 1.50. The angles are shown in the figure to scale (you can count the blocks to measure them if you don't have a protractor). Where does the beam exit the glass? Assume the glass is in air (n = 1.00).
Consider white light incident on a plate of crown glass. The angle of incidence is 29.4 degrees. What is the difference in the angle of refraction between red (660 nm) and blue (470 nm) rays? (Indices of refraction: nred= 1.52; nblue= 1.531). The ray now travels inside the glass. What is the minimum angle of incidence for the red ray to be totally reflected?
A prism made by a uniaxial negative crystal (Calcite) with an optic axis parallel to prism surface and perpendicular to light incident plane. When light is incident on the first (front) surface of the prism in a normal direction and the transmitted light is a linearly polarized light, what is range of top prism angle (a) as shown in the right figure? (Assume two refractive indices of the Calcite crystal are no and ne = 1.486). 1.658