An FM radio station broadcasts at 82.3MHz. Determine the period of the radio waves.
I already go the answer: 1.22×10-8 s
but help me with part b please!!!
b). What is the wavelength of the waves?
wavelength(m) = speed(m/s) / frequency(/s)
= 3*10^8 / 82.3*10^6 = 3.64m
To determine the wavelength of the radio waves, you can use the formula:
Wavelength = Speed of Light / Frequency
The speed of light in a vacuum is approximately 3 x 10^8 meters per second.
In this case, the frequency of the FM radio station is given as 82.3 MHz. Since the unit of frequency used in the formula is Hertz (Hz), you need to convert 82.3 MHz to Hz. Remember that 1 MHz is equivalent to 1 million Hz.
So, to convert 82.3 MHz to Hz, multiply it by 1 million:
82.3 MHz * 1,000,000 = 82,300,000 Hz
Now, you can substitute the values into the formula:
Wavelength = Speed of Light / Frequency
Wavelength = 3 x 10^8 m/s / 82,300,000 Hz
Calculating this gives you the wavelength in meters.