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 meters per second)
Calculation
1. Rearrange the equation to solve for wavelength (λ):
λ = c / f
2. Plug in the values:
λ = (3 x 10⁸ m/s) / (6.42 x 10¹⁴ Hz)
3. Calculate the result:
λ ≈ 4.67 x 10⁻⁷ meters
4. Convert to nanometers (nm):
λ ≈ 467 nm
Answer: The wavelength of light with a frequency of 6.42 x 10¹⁴ Hz is approximately 467 nanometers.
