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 3.00 x 10^8 m/s)
Calculation
1. Rearrange the equation to solve for wavelength:
λ = c / f
2. Plug in the values:
λ = (3.00 x 10^8 m/s) / (4.47 x 10^14 Hz)
3. Calculate the result:
λ ≈ 6.72 x 10^-7 meters
Converting to Nanometers
Wavelength is often expressed in nanometers (nm). Since 1 meter = 10^9 nanometers, we can convert the answer:
λ ≈ 6.72 x 10^-7 m * (10^9 nm / 1 m) = 672 nm
Therefore, the wavelength of light with a frequency of 4.47 x 10^14 Hz is approximately 672 nanometers.
