Q.20

Expert-verifiedFound in: Page 451

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 20
^{0}C 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 20^{0} C is 115.8 Hz.

The frequency of the FM radio signal is

The speed of any electromagnetic wave is

The speed of sound in 20^{0}C air is

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.

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.

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