Final answer:
The wavelength of the radiation with a frequency of 6.4 x 10¹¹ Hz is 4.68 x 10⁻⁴ meters.
Step-by-step explanation:
The wavelength of radiation can be determined by using the formula:
wavelength = speed of light / frequency
Given that the frequency is 6.4 x 10¹¹ Hz, we can substitute it into the formula:
wavelength = 2.998 x 10⁸ m/s / 6.4 x 10¹¹ Hz
simplifying,
wavelength = 4.68 x 10⁻⁴ m
Therefore, the wavelength of the radiation is 4.68 x 10⁻⁴ meters.