Final answer:
The de Broglie wavelength of an electron traveling at a speed of 3.15x10² m/s is 2.426 x 10^-10 meters.
Step-by-step explanation:
To calculate the de Broglie wavelength of an electron traveling at a speed of 3.15x10² ms⁻¹, we can use the de Broglie wavelength equation:
λ = h / (mv)
Where λ is the wavelength, h is Planck's constant (6.626 x 10^-34 Js), m is the mass of the electron (9.11 x 10^-31 kg), and v is the velocity of the electron.
Plugging in the values, we get:
λ = (6.626 x 10^-34 Js) / ((9.11 x 10^-31 kg) * (3.15 x 10² ms⁻¹))
λ = 2.426 x 10^-10 meters