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A VHF television station assigned to channel 4 transmits its signal using radio waves with a frequency of 66.0 MHz . Calculate the wavelength of the radio waves. Round your answer to 3 significant digits.

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Answer:

4.55 m

Explanation:

Given data

  • Frequency (ν): 66.0 MHz = 66.0 × 10⁶ Hz = 66.0 × 10⁶ s⁻¹
  • Wavelength (λ): ?
  • Speed of light (c): 3.00 × 10⁸ m/s

We can determine the wavelength of the radio waves using the following expression.

c = λ × ν

λ = c/ν

λ = (3.00 × 10⁸ m/s)/66.0 × 10⁶ s⁻¹

λ = 4.55 m

The wavelength of the radio waves is 4.55 m.