Question

A popular radio station broadcasts at a frequency of 96.5 MHz (or 9.65 x 10^7 Hz). What is the wavelength of these radio waves if they travel at the speed of light (300,000,000 m/s)?

Answer 1

The wavelength of radio waves for a station broadcasting at 96.5 MHz is approximately 3.11 meters, calculated using the formula λ = c / f, with the speed of light as 3.00 x 10^8 m/s.

Step-by-step explanation:

The wavelength of a radio wave can be calculated using the formula c = λ x f, where c is the speed of light in a vacuum, λ is the wavelength, and f is the frequency. For a radio station broadcasting at 96.5 MHz, which is equivalent to 9.65 x 107 Hz, we can rearrange the formula to solve for the wavelength (λ = c / f). Using the speed of light, which is approximately 3.00 x 108 m/s (300,000,000 m/s), the wavelength of the radio waves broadcasted by the station would be λ = 3.00 x 108 m/s divided by 9.65 x 107 Hz, resulting in a wavelength of approximately 3.11 meters.