Wavelength of "Whip" CB Antenna on Car

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A whip CB antenna on a car measures 3.0 meters in length and exhibits 1.5 loop segments when the car is in motion. The fundamental frequency is determined when n equals 1, leading to the equation L = n(λ_n/2). The calculation suggests that λ_1 equals 6.0 meters, but the correct wavelength is actually 12 meters. This discrepancy indicates a misunderstanding in the relationship between the segments and the wavelength. The discussion highlights the importance of correctly interpreting the standing wave patterns in relation to antenna length.
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"A "whip" CB antenna on a car is 3.0 m long. When the car is moving along a highway, a standing wave is observed in the antenna that has 1.5 loop segments in it. What is the wavelength of the fundamental frequency of the antenna?"

I'm guessing that 1.5 loops segments mean that n = 3 in
L = n \frac{\lambda_{n}}{2}
L = 1.5\lambda_{3}
The fundamental frequency occurs when n = 1. So, since L = 3.0m,
\lambda_{1} = 6.0m

I know I must be doing something wrong, because the answer is 12m.
 
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If you are missing the LaTeX graphics, like I am, here's the equivalent:
let L = length, x = wavelength
L = n xn/2
L = 1.5 x3
x1 = 6.0m
 
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