# How to Calculate the Frequency of a Wavelength

Understanding the relationship between frequency and wavelength is essential in various fields such as physics, engineering, and telecommunications. In this article, we will discuss how to calculate the frequency of a wavelength using a simple formula involving the speed of light.

**1. Understanding the terms**

Before diving into the calculations, it’s crucial to understand some basic terms related to waves:

**– Wavelength (λ):** The distance between two consecutive points in a wave that are in phase. It is usually measured in meters (m).

**– Frequency (f):** The number of complete wave cycles that pass a given point per unit time. It is measured in Hertz (Hz) which is equivalent to cycles per second.

**– Speed of light (c):** The constant speed at which electromagnetic waves travel through a vacuum. It is roughly equal to 3.00 x 10^8 meters per second (m/s).

**2. Using the formula**

The relationship between frequency, wavelength, and the speed of light can be represented by the following formula:

f = c / λ

where f is the frequency, c is the speed of light, and λ is the wavelength.

**3. Performing the calculation**

To calculate the frequency of a wavelength, follow these steps:

a) Convert the given wavelength value into meters if it’s not already in meters.

b) Divide the speed of light by the wavelength using the formula: f = c / λ.

c) The result will be in Hertz (Hz), representing the frequency of the given wavelength.

**4. Example calculation**

Let’s consider an example: you want to calculate the frequency of electromagnetic radiation with a wavelength of 500 nm (nanometers) which lies in visible light range.

**a) Convert the wavelength into meters:** 500 nm = 500 x 10^-9 m = 5 x 10^-7 m

**b) Apply the formula:** f = (3.00 x 10^8 m/s) / (5 x 10^-7 m)

**c) Calculate the result:** f ≈ 6 x 10^14 Hz

Therefore, the frequency of the given wavelength is approximately 6 x 10^14 Hz.

**5. Conclusion**

Calculating the frequency of a wavelength is a straightforward process once you understand the relationship between these two variables and the speed of light. By using the simple formula f = c / λ, you’ll be able to determine the frequency for any given wavelength in no time.