What is the frequency of green light that has a wavelength of 531 nm? (c = 3.00 x 108 m/s)

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
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Question:**

What is the frequency of green light that has a wavelength of 531 nm? (c = 3.00 x 10^8 m/s)

**Explanation:**

To calculate the frequency of light when you know the wavelength, you can use the formula:

\[ c = \lambda \cdot f \]

where:
- \( c \) is the speed of light in a vacuum (\( 3.00 \times 10^8 \, m/s \)),
- \( \lambda \) is the wavelength,
- \( f \) is the frequency.

Rearranging the formula, you can solve for frequency (\( f \)):

\[ f = \frac{c}{\lambda} \]

Given:
- Wavelength (\( \lambda \)) = 531 nm = \( 531 \times 10^{-9} \) m

Using the values:

\[ f = \frac{3.00 \times 10^8 \, m/s}{531 \times 10^{-9} \, m} \]

**Calculation:**

Perform the division to find \( f \), the frequency of green light.
Transcribed Image Text:**Question:** What is the frequency of green light that has a wavelength of 531 nm? (c = 3.00 x 10^8 m/s) **Explanation:** To calculate the frequency of light when you know the wavelength, you can use the formula: \[ c = \lambda \cdot f \] where: - \( c \) is the speed of light in a vacuum (\( 3.00 \times 10^8 \, m/s \)), - \( \lambda \) is the wavelength, - \( f \) is the frequency. Rearranging the formula, you can solve for frequency (\( f \)): \[ f = \frac{c}{\lambda} \] Given: - Wavelength (\( \lambda \)) = 531 nm = \( 531 \times 10^{-9} \) m Using the values: \[ f = \frac{3.00 \times 10^8 \, m/s}{531 \times 10^{-9} \, m} \] **Calculation:** Perform the division to find \( f \), the frequency of green light.
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