Telephone signals are often transmitted over long distances by microwaves. what is the frequency of microwave radiation with a wavelength of 3.5 cm ?
Microwaves move at the speed of light which is equal to 3 x 10^8 m/s. The frequency of a wave is calculated by dividing its speed by the wavelength. Through that approach,
f = (3x10^8 m/s)(100 cm/1m) / 3.5 cm
= 8571428571/s = 8 571 MHz
Answer:
\(0.86\times 10^{10} Hz\)
Explanation:
Given that, the wavelength of the microwave radiation is,
\(\lambda=3.5 cm=3.5\times 10^{-2}m\)
And as we know that the speed of the wave is,
\(v=3\times 10^{8}m/s\)
Now the frequency of the microwave radiation can be calculated as
\(f=\frac{v}{\lambda}\)
Here, f is the frequency of microwave signal, v is the speed of the signal and \(\lambda\) is the wavelength of signal.
Now put all the given variable in above equation.
\(f=\frac{3\times 10^{8}m/s}{3.5\times 10^{-2}m } \\f=0.86\times 10^{10} Hz\)
This the required frequency.