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

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Avah Leonard · Accepted Answer

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      /    sTherefore, substitute the value of the De Broglie’s wavelength (in meters) and obtain the value of the velocity of the moving electron.

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

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