The international radio station Voice of Slobbovia announces...

The international radio station Voice of Slobbovia announces that it is "transmitting to North America on the 49 -meter band." Which frequency is the station transmitting on? a) $820 \mathrm{kHz}$ d) The information given tells b) $6.12 \mathrm{MHz}$ nothing about the frequency. c) $91.7 \mathrm{MHz}$

The international radio station Voice of Slobbovia announces that it is "transmitting to North America on the 49 -meter band." Which frequency is the station transmitting on?
a) $820 \mathrm{kHz}$
d) The information given tells
b) $6.12 \mathrm{MHz}$
nothing about the frequency.
c) $91.7 \mathrm{MHz}$

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Key Concepts

Wavelength and Frequency Relationship

This concept explains that the frequency of an electromagnetic wave is inversely proportional to its wavelength, as described by the equation f = c/?. In it, c represents the speed of light in a vacuum, and ? is the wavelength. This formula is fundamental to determining one of these quantities when the other is known, making it crucial for converting a wavelength measure, such as 49 meters, into its corresponding frequency.

Speed of Light

The speed of light in a vacuum, approximately 300,000,000 meters per second, is a fundamental constant used in the wavelength-frequency relation. It plays a crucial role in calculating frequencies from known wavelengths and is a cornerstone concept in the study of electromagnetic radiation.

Radio Frequency Spectrum

This concept refers to the range of frequencies used for radio, television, and other forms of wireless communication. Understanding the radio frequency spectrum is essential because specific bands, defined by their wavelength or frequency, are allocated for different types of communication. Converting a wavelength like 49 meters to its corresponding frequency allows for identifying which part of the spectrum is being utilized.

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