The Fascinating Concept of Wavelength in Light Waves

How is the wavelength of light with a frequency of 4.3 x 10^14 Hz determined?

What is the relationship between wavelength and frequency in light waves?

Calculation and Explanation

The wavelength of light with a frequency of 4.3 x 10^14 Hz can be determined using the formula: λ = c/f, where λ represents the wavelength of light, c is the speed of light in a vacuum (3 x 10^8 m/s), and f is the frequency of light.

Understanding Wavelength in Light Waves

In the world of physics, the wavelength of light is defined as the distance between two consecutive crests or troughs of a wave. It is a fundamental concept in the study of electromagnetic radiation and plays a crucial role in various scientific applications.

One key relationship to understand is that wavelength and frequency are inversely proportional. This means that as the frequency of light increases, its wavelength decreases, and vice versa. This inverse relationship is mathematically represented by the formula λ = c/f.

For the specific case of a light wave with a frequency of 4.3 x 10^14 Hz, we can calculate its wavelength as follows:

λ = c/f

λ = 3 x 10^8 m/s / (4.3 x 10^14 Hz)

λ = 6.98 x 10^-7 m

Therefore, the wavelength of light with a frequency of 4.3 x 10^14 Hz is 6.98 x 10^-7 meters. This calculation showcases the direct relationship between the speed of light, frequency, and wavelength, emphasizing the intricate nature of light waves.