How do you calculate the velocity of an electron if the debroy wavelength is given.

patylomy7

patylomy7

Answered question

2022-08-13

How do you calculate the velocity of an electron if the debroy wavelength is given.

Answer & Explanation

Avah Leonard

Avah Leonard

Beginner2022-08-14Added 21 answers

Correction: The wavelength mentioned here is considered as De Broglie’s wavelength. There’s no such thing as debroy wavelength.
A French scientist, Louis de Broglie in 1924 derived an equation describing the wave nature of any particle.
It says that is a particle is is moving in a wave form whose velocity is v and have a mass of m then its wavelength, λ will be,
λ = h m v
Here, h is a constant called Plank’s constant and its value is 6.626 × 10 34 J . s .
Here, the question is asking for the velocity of an electron it its De Broglie’s wavelength is given. For the purpose the above equation can be modified to obtain the result. Therefore,
λ = h m e v e v e = h m e λ
Here, m e is the mass of the electron and v e is the velocity of the electron.
Further when the known values are substituted the equation for the velocity will be,
v e = 6.626 × 10 34 J s ( 9.11 × 10 31 k g ) λ v e = 7.27 × 10 4 λ m / s
Therefore, substitute the value of the De Broglie’s wavelength (in meters) and obtain the value of the velocity of the moving electron.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Quantum Mechanics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?