Answer: 49.96 picometers 2.
Step-by-step explanation:
The wavelength of an X-ray with a frequency of 6.0 × 10^17 Hz can be calculated using the following formula:
λ=cf
λ=fc
where λλ is the wavelength, cc is the speed of light in a vacuum, and ff is the frequency of the wave.
The speed of light in a vacuum is approximately 299,792,458 meters per second 1. Substituting the given frequency into the formula, we get:
λ=299,792,458 m/s6.0×1017 Hz
λ=6.0×1017 Hz299,792,458 m/s
Evaluating the expression, we get:
λ=4.996×10−11 meters
λ=4.996×10−11 meters
Therefore, the wavelength of an X-ray with a frequency of 6.0 × 10^17 Hz is approximately 49.96 picometers 2.