The frequency of the green light from the traffic signal is 5.77 × 10¹⁴ Hertz.
Given the data in the question;
Wavelength; [tex]\lambda = 5.20*10^{-5}cm = 5.20*10^{-7}m[/tex]
Frequency; [tex]f = \ ?[/tex]
To determine the frequency of the green light, 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 constant ([tex]3* 10^8m/s[/tex])
We substitute the values into the equation
[tex]5.20*10^{-7}m = \frac{3*10^8m/s^}{f} \\\\f = \frac{3*10^8m/s^}{5.20*10^{-7}m}\\\\f = 5.77 * 10^{14}s^{-1}\\\\f = 5.77 * 10^{14}Hz[/tex]
Therefore, the frequency of the green light from the traffic signal is 5.77 × 10¹⁴ Hertz.
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