Answer:
[tex]f=9.9269\,\,10^{19} Hz[/tex]
Explanation:
Recall that the velocity (v) of a light wave is defined as the product of its frequency (f) times its wavelength ([tex]\lambda[/tex]) :
[tex]v=f*\lambda[/tex]
therefore, we can solve for the unknown frequency by dividing both sides of the equation by the frequency:
[tex]v=f*\lambda\\2.99\,\,10^{8} \frac{m}{s} = f *\,3.012\,\,10^{-12}\, m\\\frac{2.99\,\,10^8}{3.012\,\,10^{-12}} \frac{1}{s}=f\\ f=0.99269\,\,10^{20}\,\, \frac{1}{s}\\[/tex]
Since the units "1/second" are what we call Hertz (Hz), the answer can also be given as:
[tex]f=9.9269\,\,10^{19} Hz\,[/tex]
