**Problem 8: Optics of a Prism**A horizontal beam of light is incident upon a prism, whose base is horizontal. The prism has an index of refraction of 1.31 and is surrounded by oil with an index of refraction of 1.48.**Tasks:**(a) **Angle Calculation:** Determine the angle θ that the exiting light makes with the normal to the right face of the prism as shown.(b) **Speed of Light in Oil:** Calculate the speed of light in the oil.(c) **Speed of Light in the Prism:** Determine the speed of light in the prism.**Note:** The angles in the figure are only representative. Actual angles may vary.**Diagram Description:**- The prism is a triangular shape with one angle labeled 54°.- The angles adjacent to the base of the prism are each labeled 63°.- An incoming light ray is shown entering the prism horizontally from the left.- The exiting ray forms an angle θ with the normal on the right side of the prism.**Key Concepts:**- **Index of Refraction ($n$):** A measure of how much the speed of light is reduced inside a medium.- **Snell’s Law:** Used to calculate the refraction angles and involves the indices of refraction of different media.**Solution Approach:**1. Use Snell’s Law to find the refraction angles between oil and prism.2. Apply the relationship between speed of light ($c$), index of refraction ($n$), and speed in medium ($v = \frac{c}{n}$) to find speeds in oil and prism.

Given that:- Angle of prism=A=54°

8. The figure shows a horizontal beam of light that is incident upon a prism, where the base of the prism is also horizontal. The prism has an index of refraction of 1.31 and is surrounded by oil with an index of refraction of 1.48. (a) Determine the angle 0 that the exiting light makes with the normal to the right face of the prism as shown in the figure. (b) Determine the speed of light in the oil. (c) Determine the speed of light in the prism. NOTE: the angles in the figure are only representative! The actual angles may be larger or smaller than what are shown in the figure. 63⁰ /54° 18

8. The figure shows a horizontal beam of light that is incident upon a prism, where the base of the prism is also horizontal. The prism has an index of refraction of 1.31 and is surrounded by oil with an index of refraction of 1.48. (a) Determine the angle 0 that the exiting light makes with the normal to the right face of the prism as shown in the figure. (b) Determine the speed of light in the oil. (c) Determine the speed of light in the prism. NOTE: the angles in the figure are only representative! The actual angles may be larger or smaller than what are shown in the figure. 63⁰ /54° 18

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: The index of refraction for red light in water is 1.331 and that for blue light is 1.34. If a ray of…

Q: Question: A fish is swimming 2m below the surface of a calm lake. At what angle to the horizontal…

A: Draw a diagram to see the situation,

Q: One of the world's largest aquaria is the Monterey Bay Aquarium. The viewing wall is made of acrylic…

Q: ) A light ray is incident on one side of a right prism at a distance AB = 1 cm from the apex. After…

A: In triangle ABC

Q: Air has an index of refraction of 1.00. Water has an index of refraction of 1.33. Consider a pool of…

Q: Light travels from one optical medium to another. State the conditions necessary for total internal…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: We know that the index of refraction of materials can help identify those materials. A light beam is…

A: As per Brewster’s law: n=tan θ n= tan 46o = 1.0355

Q: A light ray traveling in air strikes the surface of a slab of glass at an angle of incidence of 30°.…

A: Given that a ray of light traveling in air is incident on glass at an angle of 30°. We have to…

Q: 8. Light containing red (660 nm) and blue (470 nm) strikes a 0.01 m thick plate of glass…

A: Part (a) Given: The wavelength of red light is λred=660 nm. The wavelength of blue light is…

Q: m = 1.52 n650 nm = 1.51

A: Solution: As per rule, here solved only one question so please post the remaining in the next…

Q: 5. In the figure, a light ray enters a glass slab at point A at incident angle 0₁ = 45.0° and then…

A: Total Internal Reflection:Whenever a ray of light is proceeding in a medium with a refractive index…

Q: Light moves from the air (nhava=1) to an optical fiber with a refractive index of 1.44. Light…

Q: The index of refraction of air is 1.00, and of water is 1.33. If a ray of light travelling through…

Q: A glass optical fiber is used to transport a light ray across a long distance. The fiber has an…

A: Refractive Index of 1st medium(fiber), n1=1.540 Refractive Index of 2nd medium(ethyl alcohol),…

Q: Crown Glass Consider white light incident on a plate of crown glass. The angle of incidence is p.…

Q: Light travels from water (n=1.3) to air (n=1.0). Its angle of incidence is 36?. What is its angle…

Q: 15. Light rays from the Sun, which is at an angle of 25.4° above the western horizon, strike the…

A: As given in question Light rays from the Sun, which is at an angle of 25.4° above the western…

Q: 2. A light ray is traveling through a medium with inde of refraction 1.60. It strikes the interface…

Q: A thick layer of oil (n = 1.2) rest on top of a deep bucket of water (index of refraction n = 1.33).…

A: Refraction is the phenomenon that occurs when a ray of light travels from one medium to another with…

Q: Light strikes a diamond (n = 2.42) at an angle of 42° relative to the normal to the surface. What is…

A: Given Light ray strikes 42° relative to the normal. Therefore, Angle of incidence ( θi) = 42° Index…

Q: A ray of light strikes a flat, 2.00-cm-thick block of glass (n = 1.99) at an angle of 6 = 30.2° with…

A: Part (a) The refraction index of air is n1 = 1.00. The refraction index of glass is n1 = 1.99. The…

Q: A laser beam is incident at an angle of 38° to the vertical onto a solution of corn syrup in water.…

Q: A ray of monochromatic light travelling in air strikes the end of a 21 cm wide block of Plexiglas at…

A: Given that, The angle of incidence(i)=650 Index of refraction for the plexiglas=n2=1.51 Index of…

Q: A beam of light emerges from water into air at an angle. The beam is bent a. away from the…

Q: A ray of light passes from glass to water. The angle of incidence in the glass is 35 degrees. take…

A: Part 1 Angle of incidence = i = 35° Angle of refraction = r Refractive index of glass = ng=1.52…

Q: What is the ratio of the speed of light in diamond to the speed of light in acrylic? Diamond has an…

Q: Q2: Light in a material with an index of refraction of 1.57 is refracted into air, at an angle of…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: ray of light enters a thick plastic block from air at an angle of 32° with respect to the normal and…

A: Ans. angle of incidence θi=32°angle of refraction θr=23°index of refraction n=?

Q: A 0a

Q: A light ray travels from air (n=1.00) into a crown glass (n=1.52) with an angle of incidence of 49…

A: refractive index of air =1 refractive index of crown glass = 1.52refractive index of diamond =…

Q: ray of light travels from air into another medium, making an angle of ?1 = 45.0° with the normal as…

Q: Windshield contains 2.00 mm thick glass with an index of refraction of 1.518 and is coated with a…

Q: 1) Light is incident from benzene on an interface with ice. Which of the followingis/are true.…

Q: A ray hits an object at 15° from the vertical. If the material has index of refracti 1.5, what is…

A: Dear student, Since all questions are different as per guidelines we can author only first one…

Q: A beam of light in water (of refractive index of 1.33) enters a glass slab (c refractive index 1.50)…

A: Write the given data Refractive index n1=1.33Refractive index n2=1.50Angle of incidence sin i=60°

Q: 1. A horizontal, parallel-plated slab of glass having a refractive index of 1.52 is in contact with…

Q: 114. The index of refraction for red light in water is 1.331, and that for blue light is 1.340. If a…

Q: (c) Find the lateral distance d by which the light beam is shifted. 0.649 X cm (d) Calculate the…

A: Since you have posted a question with multiple sub-parts, we will solve the undone or wrong three…

Concept explainers

Refraction of Light

Refraction is a change in the direction of light rays when they travel from one medium to another. It is the bending of light when it goes through different media.

Angle of Refraction

Light is considered by many scientists to have dual nature, both particle nature and wave nature. First, Particle nature is one in which we consider a stream of packets of energy called photons. Second, Wave nature is considering light as electromagnetic radiation whereas part of it is perceived by humans. Visible spectrum defined by humans lies in a range of 400 to 700 nm wavelengths.

Index of Refraction of Diamond

Diamond, the world’s hardest naturally occurring material and mineral known, is a solid form of the element carbon. The atoms are arranged in a crystal structure called diamond cubic. They exist in a huge variety of colours. Also, they are one of the best conductors of heat and have a very high melting point.

Question

**Problem 8: Optics of a Prism**

A horizontal beam of light is incident upon a prism, whose base is horizontal. The prism has an index of refraction of 1.31 and is surrounded by oil with an index of refraction of 1.48.

**Tasks:**

(a) **Angle Calculation:** Determine the angle θ that the exiting light makes with the normal to the right face of the prism as shown.

(b) **Speed of Light in Oil:** Calculate the speed of light in the oil.

(c) **Speed of Light in the Prism:** Determine the speed of light in the prism.

**Note:** The angles in the figure are only representative. Actual angles may vary.

**Diagram Description:**

- The prism is a triangular shape with one angle labeled 54°.
- The angles adjacent to the base of the prism are each labeled 63°.
- An incoming light ray is shown entering the prism horizontally from the left.
- The exiting ray forms an angle θ with the normal on the right side of the prism.

**Key Concepts:**

- **Index of Refraction ($n$):** A measure of how much the speed of light is reduced inside a medium.
- **Snell’s Law:** Used to calculate the refraction angles and involves the indices of refraction of different media.

**Solution Approach:**

1. Use Snell’s Law to find the refraction angles between oil and prism.
2. Apply the relationship between speed of light ($c$), index of refraction ($n$), and speed in medium ($v = \frac{c}{n}$) to find speeds in oil and prism.

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Refraction of light$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

In the figure, light is incident at angle 0, = 41° on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If nį = 1.30, n2 = 1.40, n3 = 1.32 and n4 = 1.43, what is the value of 04? 20. Air ng 74 (a) 28.8° (b) 32.8° (c) 36.6° (d) 40.6° (e) None of the above
9. A beam of light initially passing through oil (noil = 1.45) is incident on water (nwater = 1.3) at an angle of 0; = 60°. The critical angle for these two substances is 63.7°. Which of the following statements is true? a) 100% of the incident beam is transmitted into water. b) 100% of the incident beam is reflected back into oil. c) Some portion of the incident beam is transmitted and the remainder is reflected. d) More information is needed to choose the best answer.
A glass optical fiber is used to transport a light ray across a long distance. The fiber has an index of refraction of 1.530 and is submerged in glycerin, which has an index of refraction of 1.473. What is the critical angle (in degrees) for the light ray to remain inside the fiber? Need Help? Read It
The index of refraction for material 1 is 1.36; for material 2 it is 1.66. Light travels 1.5 m in the first material before hitting the second material, where it travels another 1.5 m. What is the total time taken for the light to travel the total distance? Speed of light c = 2.998 x 108 m/s Total time in the two materials = = 1.51 S Reflect on the order of magntitude of this time. Is this a perceptible time delay? ! No, that's not the correct answer.
14. The figure shows a ray of light that passes from the white material A (with index of refraction nA = 1.1) into the grey material B. (a) In which material does the light travel faster? A) Material A B) Material B (b) What is the index of refraction of material B? 30° 60° A 70° B 20°
Red light is incident in air on a 30° -60° - 90 ° prism as shown. The incident beam is directed at an angle of ₁ = 40.20 with respect to the horizontal and enters the prism at a height h = 20 cm above the base. The beam leaves the prism to the air at a distance d = 54.2 along the base as shown. 45.66 1.36 30⁰ 1) What is 2, the angle the beam in the prism makes with the horizontal axis? 71.9 d degrees Submit 2) What is n, the index of refraction of the prism for red light? dviolet d Submit Submit 02 3) What is 3, the angle the transmitted beam makes with the horizontal axis? h degrees Submit 03 degrees Submit (+) 4) What is 41,max, the maximum value of 1 for which the incident beam experiences total internal reflection at the horizontal face of the prism? degrees Submit + + 5) The red beam is now replaced by a violet beam that is incident at the same angle 1 and same height h. The prism has an index of refraction nviolet = 1.46 for violet light. Compare dviolet, the exit distance for…
A beam of light passes through a .3 block of glass 10.0 cm thick, then through water for a distance of 30.5 cm, and finally through another block of glass 5.0 cm thick. If the refractive index of both pieces of glass is 1.525 and of water is 1.333, .find the total optical path
What is the critical angle of incidence of a transparent medium in which light travels with 2.5 x 10^8 m/s ?
To the nearest hundredth of an hour, how many hours are required before a radio signal from a space probe near the planet Uranus reaches Earth, 1.607 *109 km away? A light ray is reflected from a mirror with an angle 15.2° to the normal. What was the angle of incidence? Light passes through a transparent substance at a speed of 2.256 ×108 m/s. Based on the following table, what is the material? index of refraction (n = =) Glass Diamond Substance Ice Water Ethyl alcohol (Click to select) ✓ (Click to select) Ice Diamond Glass Ethyl alcohol Water 1.50 2.42 1.31 1.33 1.36 The wavelength of a monochromatic light source is measured to be 5.06 x10-7 m in a diffraction experiment. (a) What is the frequency? x 1014 Hz (b) What is the energy of a photon of this light? 10-19 J