The ideal size (most efficient) for a broadcast antenna with one end on the ground is one-fourth the wavelength (λ/4) of the EM wave being sent out. If a new radio station has such an antenna that is 50.0m high, what frequency does it boradcast most efficiently? Is this in the AM or FM band. This analogous to what phenomenom encountered in our study of sound wave? (Note: AM band ranges from 540 to 1600 kHz, and FM band is between 88 to 108 MHz)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter27: Wave Optics
Section: Chapter Questions
Problem 39P
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#2: The ideal size (most efficient) for a broadcast antenna with one end on the ground is one-fourth the wavelength (λ/4) of the EM wave being sent out. If a new radio station has such an antenna that is 50.0m high, what frequency does it boradcast most efficiently? Is this in the AM or FM band. This analogous to what phenomenom encountered in our study of sound wave? (Note: AM band ranges from 540 to 1600 kHz, and FM band is between 88 to 108 MHz)

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