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...
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![**Question 23 of 26**
**What is the wavelength (in nm) of blue light that has a frequency of 6.59 × 10¹⁴ s⁻¹? (c = 3.00 × 10⁸ m/s)**
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To solve this problem, we can use the formula that relates the speed of light (c), frequency (ν), and wavelength (λ):
\[ λ = \frac{c}{ν} \]
Given:
- Frequency (ν) = \(6.59 × 10^{14} \, \text{s}^{-1}\)
- Speed of light (c) = \(3.00 × 10^8 \, \text{m/s}\)
First, calculate the wavelength in meters:
\[ λ = \frac{3.00 × 10^8 \text{ m/s}}{6.59 × 10^{14} \text{ s}^{-1}} \]
Then convert the wavelength from meters to nanometers by multiplying by \(10^9\) (since 1 m = \(10^9\) nm).
**Calculator Interface:**
A keypad is displayed for inputting numbers, arithmetic operations, and scientific notation, indicating a space to input the calculated wavelength in nanometers (nm).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ebf2b47-0653-48b1-aa4f-9532848d4742%2Fdd67ada2-2fc3-4ad3-914d-aaf82e162966%2Fr1q2hd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 23 of 26**
**What is the wavelength (in nm) of blue light that has a frequency of 6.59 × 10¹⁴ s⁻¹? (c = 3.00 × 10⁸ m/s)**
---
To solve this problem, we can use the formula that relates the speed of light (c), frequency (ν), and wavelength (λ):
\[ λ = \frac{c}{ν} \]
Given:
- Frequency (ν) = \(6.59 × 10^{14} \, \text{s}^{-1}\)
- Speed of light (c) = \(3.00 × 10^8 \, \text{m/s}\)
First, calculate the wavelength in meters:
\[ λ = \frac{3.00 × 10^8 \text{ m/s}}{6.59 × 10^{14} \text{ s}^{-1}} \]
Then convert the wavelength from meters to nanometers by multiplying by \(10^9\) (since 1 m = \(10^9\) nm).
**Calculator Interface:**
A keypad is displayed for inputting numbers, arithmetic operations, and scientific notation, indicating a space to input the calculated wavelength in nanometers (nm).
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