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A quarter wave ham antenna at 146 MHz is about 1/2 of a meter. A quarter wave FM antenna at 98 MHz is about 3/4 of a meter. The 2 meter ham band is only 2 MHz wide and one antenna will cover that. The FM band is 20 MHz wide, so you need to know what frequency you want and adjust the length accordingly.
There is another problem, however. FM antennas (as well as television antennas) are 75 ohm impedance and ham antennas are 50 ohm impedance. You can’t just use one for the other and have the best performance.
Yes…..I forget the exact formula but it is derived from the speed of light times the duration of one cycle (1/f).The most common antennas are 1/4 wave but half wave or full wave is best especially for amateur frequencies. Remember that f=1/t
f is frequency
t is time
When calculating watch your units very carefully and you will end with an answer in inches or whatever unit of length you are using.