If the wavelength of an electron is 4.63 x 10^−7 m, how fast is it moving?

it move with velocity 1571 m/s

Explanation:

given data

wavelength λ = 4.63 × m

to find out

how fast is it moving

solution

we will use here de Broglie wavelength equation

that is

wavelength λ =    ..........1

here h is planck constant = 6.626068 ×

and m is mass of electron i.e = 9.10938188 ×

and v is velocity

put all value we find velocity  in equation 1

wavelength λ =  

v =

v =  1571.035464

so it move with velocity 1571 m/s

Explanation:

As DeBroglie equation proved by Davisson-Germer experiment says, the wavelength of an electron is related with its velocity with the equation:

λ =

where m is the mass of the electron , h is the Planck´s constant and v its velocity.

Solving the equation for the velocity of the electron, we have:

v = h/mλ

And replacing the values:

distance = 150m

displ = root (50 ^2 + 100^2)

root(2500+10000)

root 125000