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Part A
Telephone signals are often transmitted over long distances by microwaves. What is the frequency of microwave radiation with a wavelength of 3.0 cm?
Express your answer in GHz and using two significant figures.
f = ________GHz
Part B
Microwave signals are beamed between two mountaintops 55 km apart. How long does it take a signal to travel from one mountaintop to the other?
Express your answer in ms and using two significant figures.
t = ________ms

Respuesta :

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.

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