Final answer:
The frequency of a light wave with a wavelength of 593 x 10^-9 m is calculated using the formula f = c / λ, with the speed of light c being approximately 3 x 10^8 m/s. The frequency is found to be 5.0617 x 10^14 Hz, which is equivalent to 506.17 GHz when converted to gigahertz.
Step-by-step explanation:
To calculate the frequency of a light wave with a wavelength of 593 x 10^-9 m, we can use the formula c = λ × f, where c is the speed of light in a vacuum (approximately 3 x 10^8 m/s), λ is the wavelength, and f is the frequency. We can rearrange this formula to solve for frequency:
f = c / λ
Substituting the given values:
f = (3 x 10^8 m/s) / (593 x 10^-9 m)
This results in:
f = 5.0617 x 10^14 Hz
To express this frequency in gigahertz (GHz), we divide by 109:
f = (5.0617 x 10^14 Hz)/(109 Hz/GHz)
f = 506.17 GHz