Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
Related questions
Question
![**Question:**
What is the wavelength in nanometers (nm) of light with a frequency of \( 7.3 \times 10^{14} \) Hz?
**Explanation:**
To find the wavelength (\(\lambda\)) of light when you know its frequency (\(f\)), you can use the formula:
\[ \lambda = \frac{c}{f} \]
where:
- \( c \) is the speed of light in a vacuum, approximately \( 3.00 \times 10^8 \) meters per second (m/s).
- \( f \) is the frequency of the light.
Substituting the given frequency into the formula:
\[ \lambda = \frac{3.00 \times 10^8 \text{ m/s}}{7.3 \times 10^{14} \text{ Hz}} \]
Calculating this gives:
\[ \lambda \approx 4.11 \times 10^{-7} \text{ m} \]
To convert meters to nanometers (1 meter = \( 10^9 \) nanometers):
\[ \lambda \approx 4.11 \times 10^{-7} \text{ m} \times 10^9 \text{ nm/m} \]
\[ \lambda \approx 411 \text{ nm} \]
So, the wavelength of light with a frequency of \( 7.3 \times 10^{14} \) Hz is approximately 411 nanometers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdddcaf98-1498-4874-b480-699455f18f4b%2Fe645ff2c-ea69-41f6-a756-831f6add588e%2F9cc71br_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
What is the wavelength in nanometers (nm) of light with a frequency of \( 7.3 \times 10^{14} \) Hz?
**Explanation:**
To find the wavelength (\(\lambda\)) of light when you know its frequency (\(f\)), you can use the formula:
\[ \lambda = \frac{c}{f} \]
where:
- \( c \) is the speed of light in a vacuum, approximately \( 3.00 \times 10^8 \) meters per second (m/s).
- \( f \) is the frequency of the light.
Substituting the given frequency into the formula:
\[ \lambda = \frac{3.00 \times 10^8 \text{ m/s}}{7.3 \times 10^{14} \text{ Hz}} \]
Calculating this gives:
\[ \lambda \approx 4.11 \times 10^{-7} \text{ m} \]
To convert meters to nanometers (1 meter = \( 10^9 \) nanometers):
\[ \lambda \approx 4.11 \times 10^{-7} \text{ m} \times 10^9 \text{ nm/m} \]
\[ \lambda \approx 411 \text{ nm} \]
So, the wavelength of light with a frequency of \( 7.3 \times 10^{14} \) Hz is approximately 411 nanometers.
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!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.Recommended textbooks for you
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY