Suppose electron is moving with velocity 10 m/sec then what is the veocity of wave associated with electron.
Is this applicable for classical particle?
@ Vignesh Your calculation is correct, but not complete. The actual formula is,
v_p * v_g = c^2
where v_p = phase velocity and v_g = group velocity.
In this example, particle velocity 10 m/sec is the group velocity v_g. So the very high value (greater than c) of the wave velocity that you have obtained is actually the De Broglie phase velocity.
However, in this case phase velocity (or wave velocity) has no physical significance because the motion of the "wave group" (also called as the wave packet or wave envelope or "information"), not the motion of the individual waves that make up the group, corresponds to the motion of the particle.
And v_g = 10 < c as it should be. The fact that v_p > c for de Broglie waves therefore does not violate special relativity.
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