The equation you have is:

$c = l \cdot v$

where:

• $c = 3 \times 10^8 \, \text{m/s}$ (the speed of light),
• $l = 4.681 \, \mu m$ (wavelength),
• $v$ is the frequency.

First, convert the wavelength $l$ from micrometers to meters:

$4.681 \, \mu m = 4.681 \times 10^{-6} \, \text{m}$

Now, solve for $v$:

$v = \frac{c}{l} = \frac{3 \times 10^8 \, \text{m/s}}{4.681 \times 10^{-6} \, \text{m}}$

Let's calculate the frequency $v$.# Given values c = 3 * 108 # speed of light in m/s l = 4.681 * 10-6 # wavelength in meters

Calculate frequency v

v = c / l vThe frequency $v$ is approximately $6.41 \times 10^{13} \, \text{Hz}$ (hertz).

Do you want more details or have any further questions?

Here are 5 related questions for further exploration:

1. How does the speed of light affect electromagnetic wave propagation?
2. What is the relationship between wavelength and frequency in different mediums?
3. How does changing the wavelength affect the frequency?
4. What are common wavelengths of light in different parts of the electromagnetic spectrum?
5. How does wavelength influence the energy of a photon?

Tip: Always convert units to SI (International System of Units) before performing calculations to ensure consistency and accuracy.