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:

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can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s