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Q.20

Expert-verified
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

# An FM radio station broadcasts at a frequency of 101.3 MHz . What is the wavelength?What is the frequency of a sound source that produces the same wavelength in 200C air?

Part (a) The wavelength of the FM radio wave is 2.96 m.

Part (b) The frequency of a sound source that produces the same wavelength in 200 C is 115.8 Hz.

See the step by step solution

## Part (a) Step 1. Given information

The frequency of the FM radio signal is

The speed of any electromagnetic wave is

The speed of sound in 200C air is

## Part (a) Step 2. Calculating the wavelength of the radio FM signal:

Wavelength is defined as the distance between consecutive crests or troughs.

The formula to calculate the wavelength in terms of wave speed is given by

Substitute for c and for f into the above formula to calculate the wavelength.

## Part (b) Step 1. Calculate the frequency of the sound source:

Frequency is defined as the number of complete waves or oscillations travelling in unit time.

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

Substitute 343 m/s for v, 2.96 m for into the above formula to calculate the frequency.