Understanding the Relationship
* Speed of light (c): The speed of light in a vacuum is constant, approximately 3 x 10⁸ meters per second (m/s).
* Wavelength (λ): This is the distance between two consecutive crests or troughs of a wave.
* Frequency (f): This is the number of wave cycles that pass a point in one second.
The relationship between these is:
c = λf
Solving for Frequency
1. Rearrange the formula: To find frequency (f), divide both sides by wavelength (λ):
f = c / λ
2. Plug in the values:
* c = 3 x 10⁸ m/s
* λ = 4.25 x 10⁻⁸ m
f = (3 x 10⁸ m/s) / (4.25 x 10⁻⁸ m)
3. Calculate:
f ≈ 7.06 x 10¹⁵ Hz
Answer: The frequency of light with a wavelength of 4.25 x 10⁻⁸ meters is approximately 7.06 x 10¹⁵ Hertz (Hz).
