Understanding the Relationship
* Wavelength (λ): The distance between two consecutive crests (or troughs) of a wave.
* Frequency (f): The number of waves that pass a point in a given amount of time.
* Speed of light (c): A constant value of approximately 3 x 10⁸ meters per second (m/s) in a vacuum.
The Formula
The relationship between wavelength, frequency, and the speed of light is given by:
c = λf
Solving for Frequency
1. Rearrange the formula: f = c / λ
2. Plug in the values:
* c = 3 x 10⁸ m/s
* λ = 6.80 x 10⁻⁷ m
3. Calculate:
f = (3 x 10⁸ m/s) / (6.80 x 10⁻⁷ m)
f ≈ 4.41 x 10¹⁴ Hz
Answer:
The frequency of light with a wavelength of 6.80 x 10⁻⁷ meters is approximately 4.41 x 10¹⁴ Hertz (Hz).
