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A radio can tune in to any station in the 7.5 MHz to 12 MHz band. The corresponding wavelength band is

  • A.75m-12m
  • B.22.5m-36m
  • C.40m-25m
  • D.20m-45m
  • E.15m-24m

Answer: C

The wavelength band is 40m-25m.

\(\lambda = \frac{c}{f}\) with \(c = 3 \times 10^{8}\) m/s:

\[ \begin{aligned} \lambda_{1} &= \frac{3 \times 10^{8}}{7.5 \times 10^{6}} = 40\ \text{m} \\ \lambda_{2} &= \frac{3 \times 10^{8}}{12 \times 10^{6}} = 25\ \text{m} \end{aligned} \]

Higher frequency means shorter wavelength, so the band runs from 40 m down to 25 m.

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