The frequency of the electromagnetic wave is 5.46 × 10¹⁴ Hertz.
Given the data in the question;
Speed of light; [tex]c = 3 * 10^8m/s[/tex]
Wavelength; [tex]\lambda = 5.49 * 10^{-7}m[/tex]
Frequency; [tex]f =\ ?[/tex]
To determine the frequency of the wave, we use the expression for the relations between wavelength, frequency and speed of light.
[tex]\lambda = \frac{c}{f}[/tex]
Where [tex]\lambda[/tex] is wavelength, f is frequency and c is speed of light.
We substitute our given values into the equation
[tex]5.49 * 10^{-7}m = \frac{3*10^8m/s}{f} \\\\f = \frac{3*10^8m/s}{5.49 * 10^{-7}m}\\\\f = 5.46 * 10^{14}s^{-1}\\\\f = 5.46 * 10^{14} Hz[/tex]
Therefore, the frequency of the electromagnetic wave is 5.46 × 10¹⁴ Hertz.
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