Understanding the Relationship
The relationship between the frequency (f) of light and its wavelength (λ) is described by the following equation:
* c = fλ
Where:
* c is the speed of light in a vacuum (approximately 3 x 10⁸ m/s)
* f is the frequency of the light in Hertz (Hz)
* λ is the wavelength of the light in meters (m)
Calculation
1. Rearrange the equation to solve for wavelength:
λ = c / f
2. Plug in the values:
λ = (3 x 10⁸ m/s) / (4.47 x 10¹⁴ Hz)
3. Calculate the result:
λ ≈ 6.71 x 10⁻⁷ m
Converting to Nanometers:
Since wavelengths are often expressed in nanometers (nm), let's convert our answer:
* 1 meter (m) = 1 x 10⁹ nanometers (nm)
* λ ≈ 6.71 x 10⁻⁷ m * (1 x 10⁹ nm / 1 m)
* λ ≈ 671 nm
Answer:
The wavelength of light with a frequency of 4.47 x 10¹⁴ Hz is approximately 671 nanometers.
