Q.21

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Found in: Page 451

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# Telephone signals are often transmitted over long distances by microwaves. What is the frequency of microwave radiation with a wavelength of 3.0 cm?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

See the 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.