What is the wavelength for an FM radio signal if the number on the dial reads 99.5 MHz ?

Name: Problem 12, Chapter 13: Physics
Uploaded: 2020-06-18T04:27:35-08:00
Duration: 2 min 40 s
Channel: Jacob Adamczyk
Description: What is the wavelength for an FM radio signal if the number on the dial reads 99.5 MHz ?

step 1 In this question, we tune our radios to an FM signal of 99 .5. This corresponds to a radio frequ

What is the wavelength for an FM radio signal if the number...

Key Concepts

Relationship between Frequency and Wavelength

The relationship between frequency and wavelength is established by the equation v = f?, where v is the speed of light, f is the frequency, and ? is the wavelength. This inverse relationship indicates that as frequency increases, the wavelength decreases, and vice versa. This fundamental concept is applicable to all types of waves, including electromagnetic waves.

Electromagnetic Waves

Electromagnetic waves are oscillations of electric and magnetic fields that propagate through space at a constant speed in vacuum. These waves encompass a wide range of phenomena, including radio waves, microwaves, visible light, and X-rays. Their behavior is governed by Maxwell's equations, which describe how electric and magnetic fields interact and propagate.

Frequency

Frequency refers to the number of oscillations or cycles that occur per unit time in a wave. It is measured in hertz (Hz) and is a fundamental property of any periodic process, including electromagnetic radiation. The frequency of a wave determines many of its characteristics, such as energy and, in the case of radio waves, the specific channel on which a signal is broadcast.

Wavelength

Wavelength is the distance between successive crests or troughs in a wave. It is a crucial characteristic of waves, defining the spatial extent of one complete cycle. In electromagnetic waves, the wavelength is inversely related to the frequency, meaning that higher frequencies correspond to shorter wavelengths.

Speed of Light

The speed of light is a universal constant that represents the rate at which electromagnetic waves propagate through a vacuum, approximately 3 x 10^8 meters per second. This constant links the frequency and wavelength of electromagnetic waves through a simple and fundamental relation, making it essential for calculations involving wave properties.

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