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

Q: Expert Answer

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 = c ν Here, λ is the wavelength of radiation, c is the speed of light, and ν is the frequency. Explanation Given information: The frequency of the radio signal is 93.6 megahertz ( MHz ). The relation between megahertz and hertz is as follows: 1 MHz = 1 × 10 6 Hz 93.6 MHz = 93.6 MHZ × 1 × 10 6 Hz 1 MHz = 93.6 × 10 6 Hz Also, the relation between hertz and cycles per second is as follows: 1 Hz = 1 cycle per second 93 .6 Hz = 93.6 × 10 6 Hz × 1 cycle per second 1 Hz = 93

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Chemistry In Focus

7th Edition

Tro + 1 other

Publisher: Cengage Learning,

ISBN: 9781337399692

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Section

Answer 3

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Answer 4

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Answer 5

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 93.6 megahertz(MHz).

The relation between megahertz and hertz is as follows:

1 MHz = 1×106 Hz93.6 MHz = 93.6 MHZ × 1×106 Hz1 MHz= 93.6×106 Hz

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

1Hz=1 cycle per second93.6 Hz = 93.6×106Hz × 1 cycle per second1Hz =93

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

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Chemistry In Focus