# What is the wavelength of an FM radio signal that has a frequency of 91.7 MHz? (a) 306 nm (b) 306 mm (c) 3.27 m (d) 3.27 × l0 6 m

### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

Chapter
Section

### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 6.1, Problem 2RC
Textbook Problem
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## What is the wavelength of an FM radio signal that has a frequency of 91.7 MHz? (a) 306 nm (b) 306 mm (c) 3.27 m (d) 3.27 × l06 m

Interpretation Introduction

Interpretation: The wavelength of FM radio signal is to be determined from the given option.

Concept introduction:

• Electromagnetic radiations are a type of energy surrounding us. They are of different types like radio waves, IR, UV, X-ray etc.
• The frequency of the light is inversely proportional to its wavelength.

ν=cλwhere, c=speedoflightν=frequencyλ=wavelength

### Explanation of Solution

Reason for correct option

Given,

The frequency of FM radio signal is 91.7MHz=91.7 ×106Hz=91.7 ×106s1

The speed of light,c=2.998×108m/s

The wavelength of FM radio signal is calculated by using the equation,

λ=cν=2.998×108m/s91

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