Final answer:
To find the velocity of an electron with a specific wavelength, we use the de Broglie equation. The calculation yields a non-physical velocity result that exceeds the speed of light, indicating that such a wavelength for an electron is not realistic in classical physics.
Step-by-step explanation:
To calculate how fast an electron is moving given its wavelength, we apply the de Broglie equation which relates an electron's wavelength λ to its velocity v according to the formula λ = h/(m*v), where h is the Planck constant (6.626 x 10^-34 m^2 kg/s), m is the mass of the electron (9.109 x 10^-31 kg), and v is the velocity of the electron. Rearranging the formula for v, we get v = h/(m*λ).
Let's compute the velocity of an electron with a wavelength of 5.00 x 10^27 m:
v = (6.626 x 10^-34 m^2 kg/s) / ((9.109 x 10^-31 kg) * (5.00 x 10^27 m))
v = (6.626 x 10^-34) / (4.5545 x 10^-3)
v = 1.4542 x 10^31 m/s
However, this result is not physically possible because it significantly exceeds the speed of light, which is the maximum speed limit in the universe (approximately 3 x 10^8 m/s). Therefore, the given wavelength for the electron is not physically realistic, and such a scenario would be considered non-physical in the framework of classical physics.