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Deduce the de-Broglics matter wave equat...

Deduce the de-Broglics matter wave equation.

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Dual nature of electron - de-Broglie's matter wave equation
According to Einstein's mass - energy relation, `E = mc^(2)` ...(1)
Where m and c are the mass and velocity of an electron respectively.
According to quantum theory, Energy E = hv =(hc)/ `lamda` ... (2)
Where h is Plank's constant`= 6.626xx10^(-34)` Js, u is the frequency of moving electron.
Comparing (1) and (2) `mc^(2) = (hc)/lamdagtmc= h/lamda gt=lamda= h` / mc ... (3)
Equation (3) is called de-Broglie's equation.
For an electron its velocity is given as V. So the de-Broglie's equation for an electron is given by
`lamda= h // mv` (mv = p = momentum of electron)
`lamda= h //p` is called de-Broglie's matter- wave equation
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