What do you mean by wave nature of an electron ? How was quantisation of angular momentum of the orbiting electron in Bohr’s model of hydrogen atom explained by de Broglie hypothesis ?

 

 
 
 
 
 

Answers (1)

Moving electron can show wave characteristics.

The de Broglie's wavelength

\lambda =\frac{h}{mV}\; \; ---(1)

For stationary orbit

2\pi r=n\lambda \; \; \; \; \; \; ---(2)

Substituting the value of \lambda from (1) and (2)

2\pi r=\frac{nh}{mV}

mVr=\frac{nh}{2\pi }

mVr=L (Orbital angular momentum)

L=\frac{nh}{2\pi }

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