78 E The primary rainbow described in Problem 77 is the type commonly seen in regions where rainbows appear. It is pro- duced by light reflecting once inside the drops. Rarer is the sec- ondary rainbow described in Module 33-5, produced by light reflecting twice inside the drops (Fig. 33-68a). (a) Show that the angular deviation of light entering and then leaving a spherical water drop is Odev = (180°)k + 20, – 2(k + 1)8,, where k is the number of internal reflections. Using the procedure of Problem 77, find the angle of minimum deviation for (b) red light and (c) blue light in a secondary rainbow. (d) What is the angular width of that rainbow (Fig. 33-21d)? The tertiary rainbow depends on three internal reflections (Fig. 33-68b). It probably occurs but, as noted in Module 33-5, cannot be seen with the eye because it is very faint and lies in the bright sky surrounding the Sun. What is the angle of minimum de- viation for (e) the red light and (f) the blue light in this rainbow? (g) What is the rainbow's angular width? (a) (6)

78 E The primary rainbow described in Problem 77 is the type commonly seen in regions where rainbows appear. It is pro- duced by light reflecting once inside the drops. Rarer is the sec- ondary rainbow described in Module 33-5, produced by light reflecting twice inside the drops (Fig. 33-68a). (a) Show that the angular deviation of light entering and then leaving a spherical water drop is Odev = (180°)k + 20, – 2(k + 1)8,, where k is the number of internal reflections. Using the procedure of Problem 77, find the angle of minimum deviation for (b) red light and (c) blue light in a secondary rainbow. (d) What is the angular width of that rainbow (Fig. 33-21d)? The tertiary rainbow depends on three internal reflections (Fig. 33-68b). It probably occurs but, as noted in Module 33-5, cannot be seen with the eye because it is very faint and lies in the bright sky surrounding the Sun. What is the angle of minimum de- viation for (e) the red light and (f) the blue light in this rainbow? (g) What is the rainbow's angular width? (a) (6)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Unpolarized light passes through two polaroid filters that are oriented such that the angle between…

A: Given: The angle between the polarization axes is,

Q: 34 Go In Fig. 33-41, a beam of unpolarized light, with intensity 43 W/m², is sent into a system of…

A: Solution: Given: I0 = intensity of ordinary light incident on first polarizer = 43 W/m2 θ1 = angle…

Q: Q1 a) If the absorption coefficient of sea water is 2m", and if the eye can perceive light of…

A: Given: The coefficient of seawater is μ = 2 m-1 The eye can perceive the light of factor f = 10-18

Q: 82 In Fig. 33-70, unpolarized light is sent into the system of three po- larizing sheets, where the…

A: Given information: The angles are already defined in the question/figure. The diagram below shows…

Q: Unpolarized light falls on the two polarizing sheets placed one on top of the other. What must be…

Q: Light is incident from air onto a flat surface of glass of refractive index nG = 1.55. At normal…

Q: White light is sent through an interface of a 100% (w/v) glycerol solution (nı = 1.474) and a 20%…

Q: 4 of 7 Ήι ER ns HT Z nu ET Transverse Electric, TE The Figure above shows TE polarised light…

A: . The figure shows a ray of light traveling from a medium with refractive index n1 (incident medium)…

Q: Light of wavelength 550 nm is incident within glass of refractive indent nG = 1.50 onto a boundary…

Q: Light of original intensity 100 W/m2 passes through two ideal polarizing filters having their…

Q: Which properties of light are exhibited in the Double Slit Experiment? O Light acting as a particle…

A: Which property of light exhibiting double sliy experiment.

Q: 9. A polarized light is incident on several polarizing disks whose planes are parallel and centered…

A: It is given that the polarized light wave is passes through a polarizer, the intensity of the light…

Q: The angle between the axes of two polarizing filters is 40.0°. By how much does the second filter…

A: Let the initial intensity of the light beam is I0 and the angle between the two filter is denoted by…

Q: 1. A linearly polarized light propagating in water can be expressed as E, = 0, E₂ = 0, E = 10² cos…

Q: Light that passes through a series of three polarizing filters emerges from the third filter…

A: In the given question, We have to calculate the intensity of initially unpolarized light.

Q: 44 In Fig. 33-42, unpolarized light is sent into a system of three polarizing sheets, which…

A: Let A be the amplitude of incoming light. After passing polarizer 1, its amplitude is Acosθ2…

Q: Problem 1: There are three aligned polarizers. The 2nd polarizer is 20° to the 1st and the 3rd is…

Q: is transmitted?

A: E=(e→x2+32e→y+e→z)cos(ωt−k→.r→)k=−32e→x+12e→yAir glass incident normal is in y direction.TE wave…

Q: he angle between the axes of two polarizing filters is 42.5°. By how much does the second filter…

A: The angle between the axes of two polarizing filters is θ= 42.5° Let intensity of light coming…

Q: If you have completely polarized light of intensity 175W/m^2 what will it's intensity be after…

Q: a) Diffraction is due to the wave nature of light and occurs due to the deviation of light from the…

A: Diffraction occurs when light deviates from the straight path when passing through a small aperture…

Q: Unpolarized light passes through two ideal Polaroid sheets. The axis of the first is vertical and…

A: Given data: The axis of the first polarized light is vertical. The axis of the…

Q: Two coherent beams having parallel electric fields are described by TL E₁ = 5 cos(ks₁ - wt + 3) +7)…

A: The net irradiance. given, Phase difference due to pathϕ=π4Electric…

Q: A light wave in air strikes the surface of a piece of sapphire (n = 1.77) at an angle of 24°. The…

A: Refractive index of sapphire (n) = 1.77Angle of reflection () = 240E- Field amplitude for-1.…

Q: (c) The electric fields from two e/m waves are described by E1 = 10.0 cos(kz – wt) N/C and E2 = 15.0…

A: Concepts used: Resultant electric field of multiple waves is found by principle of superposition of…

Q: 4. Two coherent beams having parallel electric fields are described by TT E₁ = 5 cos(ks₁ wt + 3 -…

A: Given: The electric field of the two coherent beams are E1 = 5 cosks1 - ωt + π3 kV/mE2 = 3…

Question

78 E The primary rainbow described in Problem 77 is the
type commonly seen in regions where rainbows appear. It is pro-
duced by light reflecting once inside the drops. Rarer is the sec-
ondary rainbow described in Module 33-5, produced by light
reflecting twice inside the drops (Fig. 33-68a). (a) Show that the
angular deviation of light entering and then leaving a spherical
water drop is
Odev = (180°)k + 20, – 2(k + 1)8,,
where k is the number of internal reflections. Using the procedure
of Problem 77, find the angle of minimum deviation for (b) red
light and (c) blue light in a secondary rainbow. (d) What is the
angular width of that rainbow (Fig. 33-21d)?
The tertiary rainbow depends on three internal reflections
(Fig. 33-68b). It probably occurs but, as noted in Module 33-5,
cannot be seen with the eye because it is very faint and lies in the
bright sky surrounding the Sun. What is the angle of minimum de-
viation for (e) the red light and (f) the blue light in this rainbow?
(g) What is the rainbow's angular width?
(a)
(6)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Answer

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A fine metal foil separates one end of two pieces ofoptically flat glass, as in Fig. 24–33. When light of wavelength 670 nm is incident normally, 24 dark bands areobserved (with one at each end). How thick is the foil?
Problem 1: You want to test a special watertight monochromatic light source in an un- derwater environment. If the light source shines its beam of electromagnetic radiation into your eyes when you and the light source are above the water, with both your eyes and the light source immersed in air, the beam appears to your eyes to have a deep violet color. The index of refraction of water is about 1.33 What color, if any, would your eyes perceive the beam to have when you and the light source are submerged in water – and why? (A) No color. The beam would become invisible under water because its wavelength in water is shorter than in air, corresponding to a wavelength of ultra-violet light. The beam's wavelength in the water determines its visibility to the eye under water, and ultra-violet light is not visible to the human eye. (B) Same color as in air, above the water, i.e., deep violet. Under water, the beam would have the same wavelength as in air. The beam's wavelength in the water…
A ray of blue light, randomly polarized, travelling in air (n=1.0) is incident on the surface of a transparent material (n = 1.6) at an angle of 45°. Calculate the ratio of intensities for reflected s- and p-polarized light, Is/Ip. (10)
10. A light ray of given wavelength, initially in air, strikes a 90° prism at P (see Fig. 39-53) and is refracted there and at Q to such an extent that it just grazes the right-hand prism surface at Q. (a) Determine the index of retraction of the prism for this wavelength in terms of the angle of incidence , that gives rise to this situation. (b) Give a numerical upper bound for the index of refraction of the prism. Show, by ray dia- grams, what happens if the angle of incidence at P is (c) slightly greater or (d) slightly less than 0₁. 90 FIGURE 39-53. Problem 10.
The ratio If/lo is maximized when polarizer X is rotated so its polarization axis is 45° different from that of polarizer A (that is, when OAx is 45°). What is this maximum intensity ratio?
A plane wave is incident from a denser medium with n-3.6 to a rarer medium with n²-2.2 at an angle of incidence 40°. Determine and evaluate the Fresnel transmission coefficient for parallel polarization.