Question

Part A m, how fast is the The mass of an electron is 9.11 x 10-5 kg. If the de Broglie wavelength for an electron in a hydrogen atom is 3.31 x 10- electron moving relative to the speed of light? The speed of light is 3.00 x 10 m/s

Answer 1

De-Broglie Wavelength = h/p

Where, h is planck's constant and p is the momentum

p = mv

Where m is the mass and v is the velocity.

$\lambda = h/mv$

$\Rightarrow$ 3.31 x 10^-10 m = 6.626 x 10^-34 m² kg/s / (9.11 x 10^-31 kg x v)

$\Rightarrow$ v = 2.2 x 10⁶ m/s

Relative velocity of electron as a percentage to speed of light = (Speed of electron / Speed of light) *100

$\Rightarrow$ Relative velocity of electron as a percentage to speed of light = ((2.2 x 10⁶ m/s) / (3 x 10⁸ m/s))*100

$\Rightarrow$ Relative velocity of electron as a percentage to speed of light = 0.733%