Understanding the Relationship
* Frequency (f): How many wave cycles occur per second, measured in Hertz (Hz).
* Wavelength (λ): The distance between two consecutive crests (or troughs) of a wave, measured in meters (m) or centimeters (cm).
* Speed of light (c): The speed at which electromagnetic waves travel, approximately 3 x 10⁸ meters per second (m/s).
The Formula
The relationship between frequency, wavelength, and the speed of light is:
* c = fλ
Solving for Wavelength (λ)
1. Convert kHz to Hz: 1150 kHz = 1,150,000 Hz
2. Rearrange the formula: λ = c / f
3. Plug in the values: λ = (3 x 10⁸ m/s) / (1,150,000 Hz)
4. Calculate: λ ≈ 260.87 meters
5. Convert meters to centimeters: λ ≈ 260.87 meters * 100 cm/meter ≈ 26087 cm
Therefore, the wavelength of a wave with a frequency of 1150 kHz is approximately 26,087 centimeters.
