The mass of an electron is 9.11×10−31 kg9.11×10−31 kg. If the de Broglie wavelength for an electron in a hydrogen atom is 3.31×10−10 m3.31×10−10 m, how fast is the electron moving relative to the speed of light? The speed of light is 3.00×108 m/s3.00×108 m/s. Express your answer numerically as a percent.

The speed of electron is 0.73 % of the speed of light.

Explanation:

Given that,

Mass of the electron,

De- Broglie wavelength of the electron,

Speed of light,

The De Broglie wavelength of the electron is given by the formula as follows :

The electron moving relative to the speed of light is calculated as :

So, the speed of electron is 0.73 % of the speed of light. Hence, this is the required solution.

6 cos 34, 6 sin 34 trig

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2