From the atomic clock that utilizes C-133 which has an approximate frequency of 9.193 x 109 Hz. The wavelength of the energy is calculated to be 0.0326m.
From the given information:
- The frequency f = 9.193 × 10⁹ Hz = 9.193 × 10⁹ 1/s
- The wave speed c = 3.00 × 10⁸ m/s
Recall that:
The wavelength is the spatial successive distance between two crests of a wave and can be expressed by the formula:
[tex]\mathbf{\lambda = \dfrac{c}{f}}[/tex]
[tex]\mathbf{\lambda = \dfrac{3.00 \times 10^8 \ m/s }{9.193 \times 10^9 \ 1/s}}[/tex]
[tex]\mathbf{\lambda =0.0326 \ m}[/tex]
Therefore, we can conclude that the wavelength of the atomic clock is 0.0326m. As such Option D is correct.
Learn more about wavelength here:
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