Final answer:
The wavelength observed with a frequency of 7.1x10^15 is approximately 42.3 nanometers (nm).
Step-by-step explanation:
The frequency of a wave is inversely proportional to its wavelength, which means that as the frequency increases, the wavelength decreases and vice versa. To find the wavelength, we can use the formula:
wavelength (λ) = speed of light (c) / frequency (f)
Given that the frequency is 7.1 x 1015 Hz, and the speed of light is 3.0 x 108 m/s, we can plug those values into the formula:
wavelength (λ) = (3.0 x 108 m/s) / (7.1 x 1015 Hz)
Calculating the division, we find that the wavelength is approximately 42.3 nanometers (nm).