Final answer:
The frequency of light with a wavelength of 640 nm is 4.688 x 10^14 s^-1.
Step-by-step explanation:
The frequency of light can be determined using the equation:
c = λv
Where c is the speed of light (approximately 3.00 x 10^8 m/s), λ is the wavelength, and v is the frequency.
To find the frequency of light with a wavelength of 640 nm, we need to convert the wavelength to meters:
640 nm = 640 x 10^-9 m
Now we can plug the values into the equation:
c = λv
3.00 x 10^8 m/s = (640 x 10^-9 m)v
Solving for v, we get:
v = (3.00 x 10^8 m/s) / (640 x 10^-9 m)
v = 4.688 x 10^14 s^-1
Therefore, the frequency of this light is 4.688 x 10^14 s^-1 (option B).