/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 14 What is the speed of light in a ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 22: Problem 14

What is the speed of light in a diamond that has an index of refraction of \(2.4168 ?\)

Short Answer

Expert verified
Answer: The speed of light in a diamond with an index of refraction of 2.4168 is approximately \(1.24 \times 10^8~m/s\).

Step by step solution

01

Understand the Formula and Given Information

The formula to find the speed of light in a medium is: \(v = \frac{c}{n}\), where \(v\) is the speed of light in the medium, \(c\) is the speed of light in a vacuum, and \(n\) is the index of refraction of the medium. We know that the speed of light in a vacuum, \(c = 3.00\times10^8~m/s\), and the index of refraction of the diamond, \(n = 2.4168\).
02

Calculate the Speed of Light in Diamond

Using the formula, plug in the given values to find the speed of light in the diamond: \(v = \frac{c}{n} = \frac{3.00\times10^8~m/s}{2.4168}\) Now, we perform the calculation: \(v 鈮� 1.24 \times 10^8~m/s\)
03

Write the Final Answer

The speed of light in a diamond with an index of refraction of \(2.4168\) is approximately \(1.24 \times 10^8~m/s\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The magnetic field in a microwave traveling through vacuum has amplitude $4.00 \times 10^{-11} \mathrm{T}\( and frequency \)120 \mathrm{GHz}$. Find the amplitude and frequency of the electric field.
The magnetic field in a radio wave traveling through air has amplitude $2.5 \times 10^{-11} \mathrm{T}\( and frequency \)3.0 \mathrm{MHz}$. (a) Find the amplitude and frequency of the electric field. (b) The wave is traveling in the \(-y\) -direction. At \(y=0\) and \(t=0\), the magnetic field is $1.5 \times 10^{-11} \mathrm{T}\( in the \)+z$ -direction. What are the magnitude and direction of the electric field at \(y=0\) and \(t=0 ?\)
Light of wavelength \(659.6 \mathrm{nm}\) is emitted by a star. The wavelength of this light as measured on Earth is \(661.1 \mathrm{nm} .\) How fast is the star moving with respect to Earth? Is it moving toward Earth or away from it?
A magnetic dipole antenna is used to detect an electromagnetic wave. The antenna is a coil of 50 turns with radius \(5.0 \mathrm{cm} .\) The EM wave has frequency \(870 \mathrm{kHz}\) electric field amplitude $0.50 \mathrm{V} / \mathrm{m},\( and magnetic field amplitude \)1.7 \times 10^{-9} \mathrm{T} .$ (a) For best results, should the axis of the coil be aligned with the electric field of the wave, or with the magnetic field, or with the direction of propagation of the wave? (b) Assuming it is aligned correctly, what is the amplitude of the induced emf in the coil? (Since the wavelength of this wave is much larger than \(5.0 \mathrm{cm},\) it can be assumed that at any instant the fields are uniform within the coil.) (c) What is the amplitude of the emf induced in an electric dipole antenna of length \(5.0 \mathrm{cm}\) aligned with the electric field of the wave?
What is the frequency of the microwaves in a microwave oven? The wavelength is \(12 \mathrm{cm}\)
See all solutions

Recommended explanations on Physics Textbooks

Magnetism

Read Explanation

Circular Motion and Gravitation

Read Explanation

Further Mechanics and Thermal Physics

Read Explanation

Turning Points in Physics

Read Explanation

Electric Charge Field and Potential

Read Explanation

Medical Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.