Calculate the de- Broglie wavelength for an electron moving at 1.0 x 10^7 m/s.

To calculate the de Broglie wavelength for an electron moving at 1.0 x 10^7 m/s, we can use the de Broglie wavelength equation:

λ = h / p

where λ is the de Broglie wavelength, h is the Planck's constant (6.626 x 10^-34 J·s), and p is the momentum of the electron.

To find the momentum of the electron, we can use the equation:

p = m * v

where p is the momentum, m is the mass of the electron (9.10938356 x 10^-31 kg), and v is the velocity of the electron (1.0 x 10^7 m/s).

Now, let's substitute the values into the equations:

p = (9.10938356 x 10^-31 kg) * (1.0 x 10^7 m/s) p = 9.10938356 x 10^-24 kg·m/s

Now, we can calculate the de Broglie wavelength:

λ = (6.626 x 10^-34 J·s) / (9.10938356 x 10^-24 kg·m/s) λ = 7.257 x 10^-11 m

Therefore, the de Broglie wavelength for an electron moving at 1.0 x 10^7 m/s is approximately 7.257 x 10^-11 meters.