[tex]\tt{\huge{\blue{Explanation:}}}[/tex]
The wavelength of an electromagnetic (EM) wave is given by
[tex]\boxed{\lambda = \frac{c}{f}}[/tex]
where:
λ = wavelength
c = speed of light in vacuum = 3 × 10⁸ m/s
f = frequency
[tex]\tt{\huge{\red{Solution:}}}[/tex]
Solving for the wavelength
[tex]\lambda = \dfrac{c}{f}[/tex]
[tex]\lambda = \dfrac{3 \times 10^8 \: \text{m/s}}{5.68 \times 10^{17} \: \text{Hz}}[/tex]
[tex]\lambda = \dfrac{3 \times 10^8 \: \text{m/s}}{5.68 \times 10^{17} \: \text{s}^{-1}}[/tex]
[tex]\boxed{\lambda = 5.28 \times 10^{-10} \: \text{m}}[/tex]
Therefore, the wavelength is 5.28 × 10⁻¹⁰ m.
[tex]\\[/tex]
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