Understanding the Relationship
* Frequency (f): How many waves pass a point in one second (measured in Hertz, Hz).
* Wavelength (λ): The distance between two consecutive crests or troughs of a wave (measured in meters, m).
* Speed of Light (c): The speed at which all electromagnetic radiation travels in a vacuum (approximately 3 x 10⁸ m/s).
The Formula
The relationship between these three is:
c = fλ
Solving for Wavelength
1. Rearrange the formula: λ = c / f
2. Plug in the values:
* c = 3 x 10⁸ m/s
* f = 7.27 x 10¹⁴ Hz
3. Calculate:
* λ = (3 x 10⁸ m/s) / (7.27 x 10¹⁴ Hz)
* λ ≈ 4.13 x 10⁻⁷ m
Converting to Nanometers
Wavelength is often expressed in nanometers (nm). To convert:
* 1 meter (m) = 1 x 10⁹ nanometers (nm)
Therefore, the wavelength is:
* λ ≈ 4.13 x 10⁻⁷ m * (1 x 10⁹ nm/m)
* λ ≈ 413 nm
Important Note: The frequency you provided (7.27 x 10¹⁴ Hz) falls within the visible light spectrum. This wavelength corresponds to blue-violet light.
