The mass of an electron is 9.11×10−31 kg. if the de broglie wavelength for an electron in a hydrogen atom is 3.31×10−10 m, how fast is the electron moving relative to the speed of light? the speed of light is 3.00×108 m/s.

The electron moves slower than the speed of light

Explanation:

The de Broglie wavelength is given by the following formula:

(1)

Where:

is the Planck constant

is the momentum of the atom, which is given by:

(2)

Where:

is the mass of the electron

is the velocity of the electron  (the value we want to find)

Substituting (2) in (1):

(3)

Finding :

(4)

(5)

Finally:

>>> This is the velocity of the electron, which compared to the of the light is quite slower.

a straight line sloped

a=d/t

a="triangle"v/t

explanation:

a = acceleration