Final answer:
The wavelength of an electron can be calculated using the de Broglie equation: λ = h / (mv), where λ is the wavelength, h is Planck's constant, m is the mass of the electron, and v is the velocity of the electron.
Step-by-step explanation:
The wavelength of an electron can be calculated using the de Broglie equation: λ = h / (mv), where λ is the wavelength, h is Planck's constant (which is approximately 6.63 × 10-34 J·s), m is the mass of the electron, and v is the velocity of the electron.
In this case, the given velocity of the electron is 4.05 × 10-10 m/s. The mass of an electron is approximately 9.11 × 10-31 kg. Plugging these values into the de Broglie equation, we get:
λ = (6.63 × 10-34 J·s) / ((9.11 × 10-31 kg) · (4.05 × 10-10 m/s)) = 1.67 × 10-10 m
Therefore, the wavelength of the electron is approximately 1.67 × 10-10 m.