Answer to Question #137914 in Quantum Mechanics for Ria

Question

Momentum of an election is 600kev/c the group velocity and phase velocity of the electron is

Answer 1

Solution

Energy of electron $E=0.511\times10^6eV$

Momentum of electron

$p=600\times10^3 eV/c$

Phase velocity is given by

$v_p=\frac{E}{p}=\frac{0.511\times10^6eV}{600\times10^3 eV/c}$

$v_p=0.255\times10^9m/s$

And

Group velocity is given by

$v_g=\frac{c^2}{v_p}=\frac{9\times10^{16}}{0.255\times10^9}$

$v_g=3.53\times10^8 m/s$