period of a 100 MHz FM radio were is roughly 1 X 10 to the negative 8th s. formulate a problem and solution.
how long would a (1/4) wave antenna be?
(use c = 3*10^8 meters/second)
c T = wavelength - 3 m
(1/4)3 = .75 meters = 750 cm
Problem: What is the wavelength of a 100 MHz FM radio wave?
Solution:
To find the wavelength of a wave, we can use the formula:
c = λ * f
where:
c = speed of light (approximately 3 x 10^8 m/s)
λ = wavelength
f = frequency
Given that the frequency of the FM radio wave is 100 MHz (which is equivalent to 100 x 10^6 Hz), we can plug in the values to solve for the wavelength.
c = λ * (100 x 10^6 Hz)
Rearranging the equation to solve for the wavelength (λ):
λ = c / (100 x 10^6 Hz)
Substituting the speed of light:
λ = (3 x 10^8 m/s) / (100 x 10^6 Hz)
Simplifying the equation:
λ = 3 meters
Therefore, the wavelength of a 100 MHz FM radio wave is approximately 3 meters.