How many wavelengths per second is a radio frequency on the FM band of 99.5 megahertz?

Answer 1

To determine the number of wavelengths per second for a radio frequency on the FM band of 99.5 megahertz (MHz), we can use the formula:

Wavelength = c/f

Where:

• c= is the speed of light in a vacuum (approximately 3* 10^8 meters per second),

• f= is the frequency of the radio wave in hertz (Hz).

First, we need to convert the frequency from megahertz (MHz) to hertz (Hz). Since 1 MHz = 10^6 Hz, the frequency in hertz is:

f = 99.5MHz10^6 Hz/MHz = 99.510^6 Hz

Now, we can calculate the wavelength:

Wavelength = 310^8m/s/99.510^6 Hz

Wavelength = 3/99.5 m

Wavelength approx 3.02 meters

So, for a radio frequency on the FM band of 99.5 megahertz, there are approximately 3.02 meters per wavelength.

To find the number of wavelengths per second, we can use the reciprocal of the wavelength:

Number of wavelengths per second = 1/Wavelength

Number of wavelengths per second = 1/3.02 m

Number of wavelengths per second approx 0.331 wavelengths/second

Therefore, a radio frequency on the FM band of 99.5 megahertz has approximately 0.331 wavelengths per second.

Answer 2

10 nanoseconds is one wave, that means 10*10^-8 seconds. in one second there are 10*10^8 waves a second