1) For both matter waves and electromagnetic waves, lighter is the particle, greater is the wavelength associated with it, as for matter wave (lamda) = h / mv, whwreas for electromegnetic wave (lamda = h / mc.
2) For matter wave, smaller is the velocity of the particle greater is the wavelength associated with it.
For electromagnetic wave velocity is constant.
3) When v = 0 then (lamda) = infinite i.e. wave becomes indeterminate and if v = 0 then (lamda) = 0. This shows that matter waves are generated by the motion of particles. These waves are produced whether the particles are charged particles or they are uncharged
[(lamda) = h / mv is independent of charge]. This fact reveals that these waves are not electromagnetic waves but they are a new kind of waves. Electromagnetic waves are produced only by the motion of charged particles.
4) The velocity of matter waves depends on the velocity of material particle i.e. it is not a constant while the velocity of electromagnetic wave is constant.
5) The velocity of matter waves is greater than the velocity of light.
We know that E = h (freq) and E = mc2
So, h (freq) = mc2
Or (freq) = [m c2] / h
The wave velocity (u) is given by
u = (freq) x (lamda)
= [(mc2) / h] x [h / (mv)]
= c2 / v
As particle velocity v cannot exceed c (velocity of light), hence u is greater than velocity of light.
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By :- Dr. A. W. Pangantiwar