Awaveform travels in space at a rate of approximately 300 million meters per second. the wavelength of a sine wave is the actual distance in space that is used by one sine wave as it travels. what is the wavelength of a 100-mhz sine wave? what is the wave- length of a 500-mhz sine wave? antennas to send and receive electromagnetic waves are often sized to be one-half of the wavelength for the particular wave being used. compare your previous calculations to the size of vhf and uhf television antennas. how large would a 1/2 wavelength antenna have to be to transmit a 60-hz wave?

1) wavelength of a 100-MHz sine wave: 3 m

The wavelength of an electromagnetic wave is given by the equation:

where

is the speed of light

f is the frequency of the wave

In this case, the frequency of the wave is:

So, the wavelength is

2) wavelength of a 500-MHz sine wave: 0.6 m

In order to find the wavelength of this wave, we can use the same formula we used previously:

The frequency of the wave in this problem is

And so, the wavelength is

3) Size of the antenna: 2500 km

First of all, we need to calculate the wavelength of a wave with frequency f=60 Hz:

And so, the size of the antenna should be 1/2 of the wavelength, so:

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