The speed of light is now defined to be c = 2.99792458 × 108 m/s. (a) Express the speed of light to three significant figures. 4.03.00*10e8 X Your response is off by a multiple of ten. m/s (b) Express the speed of light to five significant figures. 4.02.9979*10e8 X Your response is off by a multiple of ten. m/s (c) Express the speed of light to seven significant figures. 4.0 2.997925*10e8 X Your response is off by a multiple of ten. m/s

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)...
icon
Related questions
icon
Concept explainers
Topic Video
Question
---

### The Speed of Light and Significant Figures

The speed of light is now defined to be \( c = 2.99792458 \times 10^8 \, \text{m/s} \).

#### (a) Express the speed of light to three significant figures.
\[4.0 \square  \]
\[3.00*10e8 \, \text{✘}\]
Your response is off by a multiple of ten. m/s

#### (b) Express the speed of light to five significant figures.
\[4.0 \square  \]
\[2.9979*10e8 \, \text{✘}\]
Your response is off by a multiple of ten. m/s

#### (c) Express the speed of light to seven significant figures.
\[4.0 \square  \]
\[2.997925*10e8 \, \text{✘}\]
Your response is off by a multiple of ten. m/s

---

**Explanation**:
- For three significant figures, the correct expression should be \( 3.00 \times 10^8 \, \text{m/s} \).
- For five significant figures, the correct expression should be \( 2.9979 \times 10^8 \, \text{m/s} \).
- For seven significant figures, the correct expression should be \( 2.9979250 \times 10^8 \, \text{m/s} \).

In each case, while the numerical part appears correct, the error seems to be due to a misunderstanding of the proper multiplication factor. Ensure the significant figures are accurate, and verify the exponent correctly reflects the order of magnitude.

---
Transcribed Image Text:--- ### The Speed of Light and Significant Figures The speed of light is now defined to be \( c = 2.99792458 \times 10^8 \, \text{m/s} \). #### (a) Express the speed of light to three significant figures. \[4.0 \square \] \[3.00*10e8 \, \text{✘}\] Your response is off by a multiple of ten. m/s #### (b) Express the speed of light to five significant figures. \[4.0 \square \] \[2.9979*10e8 \, \text{✘}\] Your response is off by a multiple of ten. m/s #### (c) Express the speed of light to seven significant figures. \[4.0 \square \] \[2.997925*10e8 \, \text{✘}\] Your response is off by a multiple of ten. m/s --- **Explanation**: - For three significant figures, the correct expression should be \( 3.00 \times 10^8 \, \text{m/s} \). - For five significant figures, the correct expression should be \( 2.9979 \times 10^8 \, \text{m/s} \). - For seven significant figures, the correct expression should be \( 2.9979250 \times 10^8 \, \text{m/s} \). In each case, while the numerical part appears correct, the error seems to be due to a misunderstanding of the proper multiplication factor. Ensure the significant figures are accurate, and verify the exponent correctly reflects the order of magnitude. ---
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Displacement, velocity and acceleration
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON