Period of a 100 MHz FM radio wave is roughly 1× 10^-8. Formulate a problem and solution.
Problem:
What is the wavelength of a 100 MHz FM radio wave?
Solution:
To determine the wavelength of a radio wave, we can use the formula:
wavelength = speed of light / frequency
Given that the frequency of the FM radio wave is 100 MHz (or 100 million Hz) and the speed of light is approximately 3 x 10^8 meters per second, we can substitute these values into the formula:
wavelength = (3 x 10^8 m/s) / (100 x 10^6 Hz)
First, let's simplify the units:
wavelength = (3 x 10^8 m/s) / (1 x 10^8 Hz)
Next, let's divide the numerator by the denominator:
wavelength = 3 meters
Therefore, the wavelength of a 100 MHz FM radio wave is approximately 3 meters.