(a) Explanation Given info: The angle of incidence is 45 ° . Explanation: The formula to calculate the Snell’s law is, n 1 sin θ i = n 2 sin θ r Here, n 1 is the refractive index of air. n 2 is the refractive index of sphere. θ i is the angle of incidence. θ r is the angle of refraction. Rearrange the above formula for n 2 . n 1 sin θ 1 = n 2 sin θ 2 n 2 = n 1 sin θ 1 sin θ 2 From the above figure, the angle of refraction is half of the angle of incidence (b) To determine whether the index of refraction is finite that will make the three beams come to a focus at the centre of sphere or not.

Physics, Books a la Carte Plus Mastering Physics with Pearson eText -- Access Card Package (5th Edition)

5th Edition

ISBN: 9780134032610

Author: James S. Walker

Publisher: PEARSON

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 26, Problem 95GP

(a)

To determine

The index of refraction of the sphere.

(b)

To determine

whether the index of refraction is finite that will make the three beams come to a focus at the centre of sphere or not.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 26, Problem 94GP

Chapter 26, Problem 96GP

Students have asked these similar questions

A drop of water (n=1.33) in the shape of a hemisphere with radius 3.0 mm sits on smooth horizontal surface of a sapphire (n=1.77). A thin laser beam enters the droplet from air and reaches the water-sapphire boundary at the exact center of their circle of contact. At that point, laser beam is completely reflected off the surface of the sapphire. a. What is the maximum height above the sapphire that the laser beam could enter the droplet to be internally reflected at the center of the droplet as described above? b. What is the angle of incidence as the beam enters the droplet?

You are on this planet where the...

The Figure shows a ray of light traveling through air towards a thin layer of linseed oil (n = 1.50) resting on top of water (n=1.33). The light ray approaches the linseed oil at an angle of incidence of 48.2°. a. Determine the angle of refraction at the air-linseed oil boundary. b. Determine the angle of refraction at the linseed oil-water boundary.

Chapter 26 Solutions

Physics, Books a la Carte Plus Mastering Physics with Pearson eText -- Access Card Package (5th Edition)

Ch. 26.1 - A ray of light reflects from a horizontal flat...Ch. 26.2 - A meterstick is placed 40 cm in front of a plane...Ch. 26.3 - Rank the following spherical mirrors in order of...Ch. 26.4 - A spherical mirror with an object at the distance...Ch. 26.5 - (a) As a beam of light passes from flint glass to...Ch. 26.6 - The lenses shown in Figure 26-49 have objects that...Ch. 26.7 - An object at the distance do = 15 cm from a lens...Ch. 26.8 - Referring to Figure 26-53, do you expect the index...Ch. 26 - Two plane mirrors meet at right angles at the...Ch. 26 - Two plane mirrors meet at right angles at the...

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 index of refraction of the sphere.

Solution Summary: The formula to calculate the Snell's law is, n_1 is the retive index of air.

Concept explainers

Videos

The index of refraction of the sphere.

whether the index of refraction is finite that will make the three beams come to a focus at the centre of sphere or not.

Want to see the full answer?

Chapter 26 Solutions