A radio station's channel, such as 100.7 FM or 92.3 FM, is actually its frequency in megahertz (MHz), where 1MHz=10^6Hz. Calculate the broadcast wavelength of the radio station 98.30 FM.
c=frequency*wavelength. c is speed of light in m/s, frequency is in Hz.
98.30X1000000
A radio station's channel, such as 100.7 FM or 92.3 FM, is actually its frequency in megahertz.Calculate the broadcast wavelength of the radio station 105.9 FM.
A radio station's channel, such as 100.7 FM or 92.3 FM, is actually its frequency in megahertz. Calculate the broadcast wavelength of the radio station 105.9 FM.
To calculate the wavelength, we need to use the formula:
Wavelength (λ) = Speed of Light (c) / Frequency (f)
The speed of light, denoted by "c," is approximately 299,792,458 meters per second (m/s). The frequency, denoted by "f," is given as 98.30 MHz.
First, we need to convert the frequency from megahertz (MHz) to hertz (Hz):
98.30 MHz = 98,300,000 Hz
Next, we can substitute the values into the formula:
λ = c / f
= 299,792,458 m/s / 98,300,000 Hz
Now, divide the speed of light by the frequency to calculate the wavelength:
λ ≈ 3.048 meters
Therefore, the broadcast wavelength of the radio station operating at 98.30 FM is approximately 3.048 meters.