Understanding the Relationship
* Frequency (f): The number of wave cycles passing a point per second, measured in Hertz (Hz).
* Wavelength (λ): The distance between two corresponding points on consecutive waves, measured in meters (m).
* Speed of Light (c): The constant speed at which light travels in a vacuum, approximately 3 x 10⁸ m/s.
The Formula
The relationship between these quantities is:
* c = fλ
Solving for Wavelength (λ)
1. Rearrange the formula:
λ = c / f
2. Plug in the values:
λ = (3 x 10⁸ m/s) / (7.21 x 10¹⁴ Hz)
3. Calculate:
λ ≈ 4.16 x 10⁻⁷ m
Converting to Nanometers
Since wavelengths of light are often expressed in nanometers (nm), we can convert our answer:
* 1 nm = 10⁻⁹ m
* λ ≈ 4.16 x 10⁻⁷ m * (1 nm / 10⁻⁹ m) ≈ 416 nm
Answer:
The wavelength of light with a frequency of 7.21 x 10¹⁴ Hz is approximately 416 nanometers.
