Please use the de broglie equation to determine the wavelength of an electron moving at 5.7x10^6 m/s

Answer 1

The de Broglie equation is given by:

λ = h / p

Where:
λ = wavelength
h = Planck's constant (6.626 x 10^-34 Js)
p = momentum

To find the wavelength of an electron moving at 5.7x10^6 m/s, we need to determine the momentum first. The momentum of an electron can be calculated using the equation:

p = m * v

Where:
m = mass of the electron (9.10938356 x 10^-31 kg)
v = velocity of the electron (5.7x10^6 m/s)

Substituting the values into the equation, we can calculate the momentum of the electron:

p = (9.10938356 x 10^-31 kg) * (5.7x10^6 m/s)
= 5.2000920132 x 10^-24 kg m/s

Now, we can use the de Broglie equation to find the wavelength:

λ = (6.626 x 10^-34 Js) / (5.2000920132 x 10^-24 kg m/s)
≈ 1.273 x 10^-10 m

Therefore, the wavelength of the electron moving at 5.7x10^6 m/s is approximately 1.273 x 10^-10 meters.