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Q.21

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

  1. Telephone signals are often transmitted over long distances by microwaves. What is the frequency of microwave radiation with a wavelength of 3.0 cm?
  2. Microwave signals are beamed between two mountaintops 50 km apart. How long does it take a signal to travel from one mountaintop to the other?

Part (a) The frequency of microwave radiation with a wavelength of 3.0 cm is .

Part (b) It takes for the signal to travel from one mountaintop to the other

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Step by Step Solution

Part (a) Step 1. Given information:

The wavelength of the microwave is

Speed of microwave signal is

The distance between two mountaintops is

Part (a) Step 1. Calculating the frequency of the microwave radiation:

The frequency is defined as the number of complete waves passing in unit time.

The formula to calculate the frequency in a periodic wave is given by

Substitute 0.03 m for and for c into the above formula to calculate the frequency.

Part (b) Step 1. Calculating the time taken to travel the signal from one mountain top to another mountain top:

The speed is defined as the rate of change of distance with respect to time.

The formula to calculate the time taken by the signal to travel from one mountaintop to another mountaintop is given by

Substitute for d and for c into the above formula to calculate the time.

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