Using the quarter‑wave length formula, what is the approximate length in feet for a frequency of 10 MHz?

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Master the AN/PRC-160 and AN/PRC-163 Radio Operations Test. Utilize flashcards and multiple choice questions, each with hints and explanations. Ace your exam!

Multiple Choice

Using the quarter‑wave length formula, what is the approximate length in feet for a frequency of 10 MHz?

Explanation:
Quarter-wavelength length follows from the relation L ≈ λ/4, with λ = c/f. For f = 10 MHz, λ ≈ (3.00 × 10^8 m/s) / (10 × 10^6 Hz) = 30 meters. A quarter of that is 7.5 meters. Converting to feet: 7.5 m × 3.28084 ft/m ≈ 24.6 ft. Among the options, 23.4 ft is the closest approximate value, which is why it’s the best choice for a quick, round-number estimate. The other options are noticeably farther from 24.6 ft.

Quarter-wavelength length follows from the relation L ≈ λ/4, with λ = c/f. For f = 10 MHz, λ ≈ (3.00 × 10^8 m/s) / (10 × 10^6 Hz) = 30 meters. A quarter of that is 7.5 meters. Converting to feet: 7.5 m × 3.28084 ft/m ≈ 24.6 ft. Among the options, 23.4 ft is the closest approximate value, which is why it’s the best choice for a quick, round-number estimate. The other options are noticeably farther from 24.6 ft.

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