Final answer:
The frequency of a light wave with a wavelength of 3.2x10^-9 m is calculated using the speed of light and is found to be 9.375x10^16 Hz.
Step-by-step explanation:
To calculate the frequency of a light wave with a given wavelength, we can use the equation relating the speed of light (c), frequency (f), and wavelength (λ): c = fλ. Here, c is the speed of light, which is approximately 3.00 × 108 m/s in a vacuum. Using the provided wavelength of 3.2 × 10-9 m, the equation can be rearranged to solve for frequency (f) as follows:
f = c / λ
Plugging in the values:
f = 3.00 × 108 m/s / 3.2 × 10-9 m
f = 9.375 × 1016 Hz
Therefore, the frequency of a light wave with a wavelength of 3.2 × 10-9 m is 9.375 × 1016 Hz.