   # Calculate the wavelength of the radio waves used to produce the FM radio signal found at 93.6 megahertz (MHz) on the radio dial. ### 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 39E
Textbook Problem
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## Calculate the wavelength of the radio waves used to produce the FM radio signal found at 93.6 megahertz (MHz) on the radio dial.

Interpretation Introduction

Interpretation:

The wavelength of the radio waves used to produce the FM radio signals found at given frequency on a radio dial is to be calculated.

Concept introduction:

The distance between two consecutive crests of a wave is called wavelength.

Frequency is the number of waves that pass through a fixed point per second.

The relation between wavelength and frequency of radiation is as follows:

λ=cν

Here, λ is the wavelength of radiation, c is the speed of light, and ν is the frequency.

### Explanation of Solution

Given information: The frequency of the radio signal is 93.6megahertz(MHz).

The relation between megahertz and hertz is as follows:

1MHz=1×106Hz93.6MHz=93.6MHZ×1×106Hz1MHz=93.6×106Hz

Also, the relation between hertz and cycles per second is as follows:

1Hz=1cyclepersecond93.6 Hz=93.6×106Hz×1cyclepersecond1Hz=93

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