(a) Explanation Given info: The refractive index of a glass is 1.56 . The refractive index of the air is 1.00 . From Snell’s Law: n 1 sin θ 1 = n 2 sin θ 2 (1) Here, n 1 is the refractive index of the air. n 2 is the refractive index of the glass. θ 1 is the angle of incidence. θ 2 is the angle of refraction. The angle of incidence is twice the angle of refraction. θ 1 = 2 θ 2 Substitute 2 θ 2 for θ 1 and 1.56 for n 2 and 1.00 for n 1 in equation (1). 1.00 sin 2 θ 2 = 1.56 sin θ 2 Form the trigonometric identity: sin 2 θ = 2 sin θ cos θ The above equation is, 2 sin θ 2 cos θ 2 = 1

9th Edition

ISBN: 8220100546310

Author: Jewett

Publisher: CENGAGE L

See similar textbooks

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…

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 bes…

Videos

Question

Chapter 35, Problem 35.61AP

(a)

To determine

The angle of incidence for which the angle of refraction is half the angle of incidence.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 35, Problem 35.60AP

Chapter 35, Problem 35.62AP

Students have asked these similar questions

A fluid with density 263 kg/m3 flows through a pipe of varying diameter and height. At location 1 the flow speed is 13.5 m/s and the diameter of the pipe is 7.4 cm down to location 2 the pipe diameter is 16.9 cm. Location 1 is 6.3 meters higher than location 2. What is the difference in pressure P2 - P1? Using units in Pascals and use g = 9.81 m/s2.

The kitchen had a temperature 46 degrees Fahrenheit and was converted it to Kelvin. What is the correct number for this temperature (46 F) on the Kelvin scale?

Water is traveling at a speed of 0.65 m/s through a pipe with a cross-section radius of 0.23 meters. The water enters a section of pipe that has a smaller radius, only 0.11 meters. What is the speed of the water traveling in this narrower section of pipe?

Chapter 35 Solutions

EBK PHYSICS FOR SCIENTISTS AND ENGINEER

Ch. 35 - Prob. 35.1QQ Ch. 35 - If beam is the incoming beam in Figure 34.10b,...Ch. 35 - Light passes from a material with index of...Ch. 35 - In photography, lenses in a camera use refraction...Ch. 35 - Prob. 35.5QQ Ch. 35 - In each of the following situations, a wave passes...Ch. 35 - A source emits monochromatic light of wavelength...Ch. 35 - Carbon disulfide (n = 1.63) is poured into a...Ch. 35 - A light wave moves between medium 1 and medium 2....Ch. 35 - What happens to a light wave when it travels from...

Knowledge Booster

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.

The angle of incidence for which the angle of refraction is half the angle of incidence.

Solution Summary: The author explains that the angle of incidence is 77.5°.

Concept explainers

Videos

The angle of incidence for which the angle of refraction is half the angle of incidence.

Want to see the full answer?

Chapter 35 Solutions