Question

Radio waves travel at the speed of light, 300,000 km/s. The wavelength of a radio wave received at 100 megahertz is A. 0.3 m

B 3 m
C. 30 m
D. 300 m
C. none of the above

Answer 1

The wavelength of a radio wave received at 100 megahertz is 3 meters, calculated using the formula for the relationship between wave speed, frequency, and wavelength with the speed of light as a constant.

Step-by-step explanation:

The question pertains to calculating the wavelength of a radio wave based on its frequency using the formula c = λf, where c is the speed of light and f is the frequency. Given the frequency (100 megahertz, or 100 x 106 Hz) and knowing that the speed of light is approximately 3.00 x 108 m/s, we can rearrange the formula to find the wavelength (λ = c/f).

λ = 3.00 x 108 m/s / (100 x 106 Hz) = 3.00 x 108 m/s / 100 x 106 1/s = 3 meters

Therefore, the wavelength of a radio wave received at 100 megahertz is 3 meters (Option B).