   # If an FM radio wave signal has a wavelength of 3 .55 m, what is its frequency? ### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

#### Solutions

Chapter
Section ### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 7, Problem 42E
Textbook Problem
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## If an FM radio wave signal has a wavelength of 3 .55 m, what is its frequency?

Interpretation Introduction

Interpretation:

The frequency of FM radio waves having a wavelength of 3.55 m is to be calculated.

Concept Introduction:

The electromagnetic spectrum is the range of all types of radiation.

Electromagnetic waves are described by three properties, namely, frequency (ν), wavelength (λ) and energy of the photon (E), which are related to each other by the following formula:

E=h×cλ=h×ν

Here “h” is Plank’s constant, “λ” is the wavelength, “ν” is the frequency and “c” is the speed of light.

### Explanation of Solution

Given information: wavelength is 3.55 m

The energy of a photon is given by the expression as follows:

E=hcλ=hν

Here,

h=6.626×1034J s (planks constant), c=3×108m/s (speed of light) and λ is wavelength of radiation

Also,

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