Step 1
to solve this we need to use the formula
[tex]\begin{gathered} f=\frac{v}{\lambda} \\ where\text{ f is the frequency } \\ v\text{ is the wave speed } \\ \lambda\text{ is the wavelength} \end{gathered}[/tex]where fis given in Hz, v is m/s and walength in meters
so
a) corvertthe walength fron nm into meters, to do that, divide by 1000000000
[tex]\begin{gathered} 740\text{ nm=}\frac{740}{10*10^9}m \\ 740\text{ nm=7.4*10}^{-7}m \end{gathered}[/tex]b) then ,let
[tex]\begin{gathered} \lambda=7.4*10^{-7}m \\ speed\text{ }=v=speed\text{ of light=3*10}^8\frac{m}{s} \end{gathered}[/tex]c) finally, replace in the formula
[tex]\begin{gathered} f=\frac{v}{\lambda} \\ f=\frac{3*10^8\frac{m}{s}}{7.4*10^{-7}m} \\ f=4.05*10^{14}\text{ Hz} \end{gathered}[/tex]therefore, the answer is
[tex]f=4.05\times10^{14}\text{Hz}[/tex]I hope this helps you
