Explanation:
Part A,
Wavelength of microwave radiation, [tex]\lambda=3\ cm=0.03\ m[/tex]
We know that the microwaves is a type of electromagnetic wave. It is moving with speed of light. Let f is the frequency of the microwave radiation.
[tex]f=\dfrac{c}{\lambda}[/tex]
[tex]f=\dfrac{3\times 10^8\ m/s}{0.03\ m}[/tex]
[tex]f=10^{10}\ Hz[/tex]
[tex]f=10\ GHz[/tex]
The frequency of microwave radiation is 10 GHz.
Part B,
Microwave signals are beamed between two mountaintops 55 km apart, d = 55000 m
Let t is the time taken by the signal to travel from one mountaintop to the other. It is given by :
[tex]t=\dfrac{d}{c}[/tex]
[tex]t=\dfrac{55000\ m}{3\times 10^8\ m/s}[/tex]
[tex]t=0.000183\ s[/tex]
[tex]t=0.18\ ms[/tex]
Hence, this is the required solution.
