Final answer:
The wavelength of radio waves broadcast at a frequency of 115 MHz is calculated using the speed of light and is found to be 2.61 meters.
Step-by-step explanation:
To calculate the wavelength of radio waves broadcast by an FM radio station at a frequency of 115 MHz, we use the formula for the relationship between the speed of light (c), frequency (f), and wavelength (λ):
c = f × λ
The speed of light, c, is approximately 3.00 × 108 meters per second. The frequency given is 115 MHz, which is 115 × 106 Hz. By rearranging the formula to solve for wavelength, we get:
λ = c / f
Substitute the values into the formula:
λ = (3.00 × 108 m/s) / (115 × 106 Hz)
λ = 2.61 meters
Therefore, the wavelength of the radio waves broadcast at 115 MHz is 2.61 meters.