Question

What is the wavelength of a 100 mhz wave, such as you receive from an fm radio station?

a. 3 m
b. 0.333333 m
c. 300 m
d. 0.000186 m
e. 1 m

Answer 1

The wavelength of a 100 MHz FM radio wave is 3 meters, calculated using the speed of light and the wave's frequency.

Step-by-step explanation:

The wavelength of an electromagnetic wave, such as those received from an FM radio station, can be calculated using the speed of light and the frequency of the wave. The speed of light in a vacuum is approximately 3.00 × 10^8 meters per second (m/s), which is also the speed at which radio waves travel. The formula to calculate wavelength (λ) is λ = c / f, where 'c' is the speed of light and 'f' is the frequency of the wave.

For a 100 MHz (100 × 10^6 Hz) FM radio wave, the calculation would be as follows:

λ = (3.00 × 10^8 m/s) / (100 × 10^6 Hz) = 3 meters (m).

Therefore, the wavelength of a 100 MHz wave, such as those received from an FM radio station, is 3 meters.