Final answer:
The frequency of ultraviolet light with a wavelength of 2.94 x 10^-8 m is approximately 1.02 x 10^16 Hz.
Step-by-step explanation:
To calculate the frequency of ultraviolet light with a given wavelength, we can use the equation c = fλ, where c is the speed of light and λ is the wavelength. Rearranging this equation, we have f = c/λ. Plugging in the values c = 3.00 x 10^8 m/s and λ = 2.94 x 10^-8 m, we get:
f = (3.00 x 10^8 m/s)/(2.94 x 10^-8 m) = 1.02 x 10^16 Hz.
Therefore, the frequency of ultraviolet light with a wavelength of 2.94 x 10^-8 m is approximately 1.02 x 10^16 Hz, which corresponds to option a).