Answer: [tex] 6.12\times 10^{14} [/tex] Hz
Explanation: Recall the formula for the speed of light is
[tex]c=\lambda v[/tex]
where [tex]c[/tex] is the speed of light,[tex]\lambda[/tex] is the wavelength, and [tex]v[/tex] is the frequency. Assuming this takes place in a vacuum, [tex]c=3.00\times 10^8[/tex] m/s. Now we can solve for frequency
[tex] c=\lambda v [/tex]
[tex] 3.00\times 10^8 = 4.90\times 10^{-7}\cdot v [/tex]
[tex] v = \frac{3.00\times 10^8}{4.90\times 10^{-7}}[/tex]
[tex] v =6.12\times 10^{14} [/tex] (rounding to 3 sig figs)
Thus, the frequencyis [tex] 6.12\times 10^{14} [/tex] Hz.
