Final answer:
The wavelength of light with a frequency of 2.33 x 10^15 s^-1 is calculated using the speed of light and frequency, resulting in a wavelength of 1.29 cm.
Step-by-step explanation:
The wavelength of light with a frequency of 2.33 x 10^15 s^-1 can be calculated using the formula c = fλ, where c is the speed of light in a vacuum (approximately 3.00 x 10^8 m/s), f is the frequency, and λ is the wavelength.
To find the wavelength, we can rearrange the equation to λ = c/f. Plugging in the values, we get λ = (3.00 x 10^8 m/s) / (2.33 x 10^15 s^-1).
Calculating this gives us the wavelength in meters, which we can then convert to centimeters by multiplying by 100 (since there are 100 centimeters in a meter).
λ = (3.00 x 10^8 m/s) / (2.33 x 10^15 s^-1) = 1.29 x 10^-7 m = 1.29 cm.
Therefore, the wavelength in centimeters of light with a frequency of 2.33 x 10^15 s^-1 is 1.29 cm, which corresponds to answer choice (a).