Final answer:
The frequency of the light with wavelength of 520nm will be 5.20 x 10^14 Hz. The closest frequency to the given options is 5.20 × 10^14 Hz.
Step-by-step explanation:
To find the frequency of light with a given wavelength, we use the relationship c = λf, where c is the speed of light in vacuum (approximately 3.00 × 10^8 m/s), λ is the wavelength, and f is the frequency. The frequency can be found by rearranging the formula to f = c / λ.
Given a wavelength of 520 nm (which is 520 × 10^{-9} meters since 1 nm = 10^{-9} meters), we can plug this into the formula:
f = (3.00 × 10⁸ m/s) / (520 × 10⁻⁹ m)
= 5.20 × 10^14 Hz (rounded to two decimal places)
The closest answer among the options is a) 5.20 × 10^14 Hz.