Understanding the Relationship
The relationship between wavelength (λ), frequency (ν), and the speed of light (c) is given by:
* c = λν
Where:
* c is the speed of light in a vacuum (approximately 3 x 10⁸ m/s)
* λ is the wavelength (in meters)
* ν is the frequency (in Hertz, Hz)
Calculation
1. Rearrange the equation to solve for wavelength:
λ = c / ν
2. Plug in the values:
λ = (3 x 10⁸ m/s) / (2.06 x 10¹⁴ Hz)
3. Calculate the wavelength:
λ ≈ 1.46 x 10⁻⁶ m
Converting to Nanometers (nm)
Since wavelengths are often expressed in nanometers, we can convert our answer:
* 1.46 x 10⁻⁶ m * (10⁹ nm / 1 m) = 1460 nm
Answer:
The wavelength associated with a frequency of 2.06 x 10¹⁴ Hz is approximately 1460 nm.
