Understanding the Relationship
The frequency (f) and wavelength (λ) of a wave are related by the following equation:
* f = c / λ
Where:
* f is the frequency (measured in Hertz, Hz)
* c is the speed of light (approximately 3.00 x 10⁸ m/s)
* λ is the wavelength (measured in meters, m)
Calculation
1. Substitute the values:
* f = (3.00 x 10⁸ m/s) / 3.55 m
2. Calculate the frequency:
* f ≈ 8.45 x 10⁷ Hz
Significant Figures
The wavelength (3.55 meters) has three significant figures. Our answer should also have three significant figures:
Answer: The frequency of the wave is approximately 8.45 x 10⁷ Hz.