Understanding the Relationship
The relationship between the frequency (f) of light and its wavelength (λ) is defined by the following equation:
* c = fλ
Where:
* c is the speed of light in a vacuum (approximately 3 x 10⁸ meters per second)
* f is the frequency of the light in Hertz (Hz)
* λ is the wavelength of the light in meters
Calculation
1. Rearrange the equation to solve for wavelength (λ):
λ = c / f
2. Plug in the given values:
λ = (3 x 10⁸ m/s) / (4.47 x 10¹⁴ Hz)
3. Calculate the wavelength:
λ ≈ 6.71 x 10⁻⁷ meters
Converting to Nanometers:
Wavelengths of light are often expressed in nanometers (nm). To convert meters to nanometers, multiply by 10⁹:
* λ ≈ 6.71 x 10⁻⁷ m * 10⁹ nm/m
* λ ≈ 671 nm
Therefore, the wavelength of light with a frequency of 4.47 x 10¹⁴ Hz is approximately 671 nanometers.
