High School

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ A local FM radio station broadcasts at a frequency of 99.8 MHz. Calculate the wavelength at which it is broadcasting.

Wavelength = _____ meters

(Note: 1 MHz = \(10^6\) s\(^{-1}\))

Answer :

Final answer:

The wavelength at which a local FM radio station broadcasts at a frequency of 99.8 MHz is 3.00 meters, calculated using the speed of light and the frequency of the broadcast.

Explanation:

To calculate the wavelength at which a local FM radio station broadcasts at a frequency of 99.8 MHz, we can use the formula c = λf where λ is the wavelength, f is the frequency, and c is the speed of light in a vacuum (approximately 3.00 × 108 m/s). Given that 1 MHz equals 106 s−1, we first convert the frequency from MHz to Hz by multiplying the given number by 106. Thus, the frequency in Hertz is 99.8 × 106 Hz. Next, rearrange the formula to solve for λ: λ = c / f. Plugging in the converted frequency and the speed of light, we get λ = 3.00 × 108 m/s / 99.8 × 106 Hz = 3.00 m. Therefore, the wavelength at which the radio station is broadcasting is 3.00 meters.