Final answer:
The provided statement "4.3 x 10^21 Hz is the frequency of a 6.9 x 10^-13 meter wave" is false because the calculated speed of the wave exceeds the speed of light, which is not possible for electromagnetic waves.
Step-by-step explanation:
To determine if the statement "4.3 x 1021 Hz is the frequency of a 6.9 x 10-13 meter wave" is true, we can use the formula for the speed of a wave, which is v = fλ, where v is the speed, f is the frequency, and λ is the wavelength. The speed of light in a vacuum is approximately 3.00 x 108 meters per second, which is the speed we'll assume for an electromagnetic wave.
The product of the given frequency (4.3 x 1021 Hz) and the wavelength (6.9 x 10-13 meters) gives us the speed of the wave:
v = (4.3 x 1021 Hz) × (6.9 x 10-13 m) = 29.67 x 108 m/s
This result, however, is greater than the speed of light, which is impossible for any wave, including electromagnetic waves. Therefore, the original statement is false.